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Finding the Fourth Proportional to 17,029, 23,501.10 and 9,577

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Solution

The fourth proportional to 17,029, 23,501.10 and 9,577 is: 13,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029 : 23,501.10 = 9,577 : x
  2. Step 2: Convert to fraction form
    17,029/23,501.10 = 9,577/x
  3. Step 3: Cross multiply
    17,029x = 23,501.10 × 9,577
  4. Step 4: Simplify right side
    17,029x = 225,070,034.70
  5. Step 5: Solve for x
    x = 225,070,034.70/17,029
  6. Step 6: Final answer
    x = 13,216.87

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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.