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Finding the Fourth Proportional to 16,642.44, 22,966.46 and 9,088.78

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Solution

The fourth proportional to 16,642.44, 22,966.46 and 9,088.78 is: 12,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.44 : 22,966.46 = 9,088.78 : x
  2. Step 2: Convert to fraction form
    16,642.44/22,966.46 = 9,088.78/x
  3. Step 3: Cross multiply
    16,642.44x = 22,966.46 × 9,088.78
  4. Step 4: Simplify right side
    16,642.44x = 208,736,963.91
  5. Step 5: Solve for x
    x = 208,736,963.91/16,642.44
  6. Step 6: Final answer
    x = 12,542.45

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