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Finding the Fourth Proportional to 16,461.63, 22,718.68 and 9,389.12

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Solution

The fourth proportional to 16,461.63, 22,718.68 and 9,389.12 is: 12,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.63 : 22,718.68 = 9,389.12 : x
  2. Step 2: Convert to fraction form
    16,461.63/22,718.68 = 9,389.12/x
  3. Step 3: Cross multiply
    16,461.63x = 22,718.68 × 9,389.12
  4. Step 4: Simplify right side
    16,461.63x = 213,308,275.70
  5. Step 5: Solve for x
    x = 213,308,275.70/16,461.63
  6. Step 6: Final answer
    x = 12,957.91

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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.