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Finding the Fourth Proportional to 16,242.30, 22,412.22 and 9,876.30

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Solution

The fourth proportional to 16,242.30, 22,412.22 and 9,876.30 is: 13,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.30 : 22,412.22 = 9,876.30 : x
  2. Step 2: Convert to fraction form
    16,242.30/22,412.22 = 9,876.30/x
  3. Step 3: Cross multiply
    16,242.30x = 22,412.22 × 9,876.30
  4. Step 4: Simplify right side
    16,242.30x = 221,349,808.39
  5. Step 5: Solve for x
    x = 221,349,808.39/16,242.30
  6. Step 6: Final answer
    x = 13,627.98

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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.