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Finding the Fourth Proportional to 17,160.46, 23,681.61 and 10,087

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Solution

The fourth proportional to 17,160.46, 23,681.61 and 10,087 is: 13,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,160.46 : 23,681.61 = 10,087 : x
  2. Step 2: Convert to fraction form
    17,160.46/23,681.61 = 10,087/x
  3. Step 3: Cross multiply
    17,160.46x = 23,681.61 × 10,087
  4. Step 4: Simplify right side
    17,160.46x = 238,876,400.07
  5. Step 5: Solve for x
    x = 238,876,400.07/17,160.46
  6. Step 6: Final answer
    x = 13,920.16

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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.