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Finding the Fourth Proportional to 16,639.06, 22,966.89 and 9,929.38

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Solution

The fourth proportional to 16,639.06, 22,966.89 and 9,929.38 is: 13,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,639.06 : 22,966.89 = 9,929.38 : x
  2. Step 2: Convert to fraction form
    16,639.06/22,966.89 = 9,929.38/x
  3. Step 3: Cross multiply
    16,639.06x = 22,966.89 × 9,929.38
  4. Step 4: Simplify right side
    16,639.06x = 228,046,978.23
  5. Step 5: Solve for x
    x = 228,046,978.23/16,639.06
  6. Step 6: Final answer
    x = 13,705.52

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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.