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Finding the Fourth Proportional to 17,781.53, 26,516.16 and 16,345.40

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Solution

The fourth proportional to 17,781.53, 26,516.16 and 16,345.40 is: 24,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.53 : 26,516.16 = 16,345.40 : x
  2. Step 2: Convert to fraction form
    17,781.53/26,516.16 = 16,345.40/x
  3. Step 3: Cross multiply
    17,781.53x = 26,516.16 × 16,345.40
  4. Step 4: Simplify right side
    17,781.53x = 433,417,109.08
  5. Step 5: Solve for x
    x = 433,417,109.08/17,781.53
  6. Step 6: Final answer
    x = 24,374.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.