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Finding the Fourth Proportional to 16,302.48, 22,497.78 and 9,929.38

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Solution

The fourth proportional to 16,302.48, 22,497.78 and 9,929.38 is: 13,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.48 : 22,497.78 = 9,929.38 : x
  2. Step 2: Convert to fraction form
    16,302.48/22,497.78 = 9,929.38/x
  3. Step 3: Cross multiply
    16,302.48x = 22,497.78 × 9,929.38
  4. Step 4: Simplify right side
    16,302.48x = 223,389,006.78
  5. Step 5: Solve for x
    x = 223,389,006.78/16,302.48
  6. Step 6: Final answer
    x = 13,702.76

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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.