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Finding the Fourth Proportional to 22,000.30, 30,358.16 and 13,502.77

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Solution

The fourth proportional to 22,000.30, 30,358.16 and 13,502.77 is: 18,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.30 : 30,358.16 = 13,502.77 : x
  2. Step 2: Convert to fraction form
    22,000.30/30,358.16 = 13,502.77/x
  3. Step 3: Cross multiply
    22,000.30x = 30,358.16 × 13,502.77
  4. Step 4: Simplify right side
    22,000.30x = 409,919,184.59
  5. Step 5: Solve for x
    x = 409,919,184.59/22,000.30
  6. Step 6: Final answer
    x = 18,632.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.