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Finding the Fourth Proportional to 20,101.16, 27,658.06 and 16,502.87

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Solution

The fourth proportional to 20,101.16, 27,658.06 and 16,502.87 is: 22,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.16 : 27,658.06 = 16,502.87 : x
  2. Step 2: Convert to fraction form
    20,101.16/27,658.06 = 16,502.87/x
  3. Step 3: Cross multiply
    20,101.16x = 27,658.06 × 16,502.87
  4. Step 4: Simplify right side
    20,101.16x = 456,437,396.52
  5. Step 5: Solve for x
    x = 456,437,396.52/20,101.16
  6. Step 6: Final answer
    x = 22,707.01

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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.