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Finding the Fourth Proportional to 17,158.08, 23,681.52 and 10,866

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Solution

The fourth proportional to 17,158.08, 23,681.52 and 10,866 is: 14,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.08 : 23,681.52 = 10,866 : x
  2. Step 2: Convert to fraction form
    17,158.08/23,681.52 = 10,866/x
  3. Step 3: Cross multiply
    17,158.08x = 23,681.52 × 10,866
  4. Step 4: Simplify right side
    17,158.08x = 257,323,396.32
  5. Step 5: Solve for x
    x = 257,323,396.32/17,158.08
  6. Step 6: Final answer
    x = 14,997.21

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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.