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Finding the Fourth Proportional to 16,471.83, 22,731.13 and 8,918.16

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Solution

The fourth proportional to 16,471.83, 22,731.13 and 8,918.16 is: 12,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.83 : 22,731.13 = 8,918.16 : x
  2. Step 2: Convert to fraction form
    16,471.83/22,731.13 = 8,918.16/x
  3. Step 3: Cross multiply
    16,471.83x = 22,731.13 × 8,918.16
  4. Step 4: Simplify right side
    16,471.83x = 202,719,746.78
  5. Step 5: Solve for x
    x = 202,719,746.78/16,471.83
  6. Step 6: Final answer
    x = 12,307.06

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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.