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Finding the Fourth Proportional to 34,965.84, 52,437.42 and 11,586

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Solution

The fourth proportional to 34,965.84, 52,437.42 and 11,586 is: 17,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,965.84 : 52,437.42 = 11,586 : x
  2. Step 2: Convert to fraction form
    34,965.84/52,437.42 = 11,586/x
  3. Step 3: Cross multiply
    34,965.84x = 52,437.42 × 11,586
  4. Step 4: Simplify right side
    34,965.84x = 607,539,948.12
  5. Step 5: Solve for x
    x = 607,539,948.12/34,965.84
  6. Step 6: Final answer
    x = 17,375.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.