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Finding the Fourth Proportional to 17,581.87, 24,263 and 9,624.59

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Solution

The fourth proportional to 17,581.87, 24,263 and 9,624.59 is: 13,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.87 : 24,263 = 9,624.59 : x
  2. Step 2: Convert to fraction form
    17,581.87/24,263 = 9,624.59/x
  3. Step 3: Cross multiply
    17,581.87x = 24,263 × 9,624.59
  4. Step 4: Simplify right side
    17,581.87x = 233,521,427.17
  5. Step 5: Solve for x
    x = 233,521,427.17/17,581.87
  6. Step 6: Final answer
    x = 13,281.94

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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.