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Finding the Fourth Proportional to 21,532.87, 29,715.10 and 12,581.74

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Solution

The fourth proportional to 21,532.87, 29,715.10 and 12,581.74 is: 17,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.87 : 29,715.10 = 12,581.74 : x
  2. Step 2: Convert to fraction form
    21,532.87/29,715.10 = 12,581.74/x
  3. Step 3: Cross multiply
    21,532.87x = 29,715.10 × 12,581.74
  4. Step 4: Simplify right side
    21,532.87x = 373,867,662.27
  5. Step 5: Solve for x
    x = 373,867,662.27/21,532.87
  6. Step 6: Final answer
    x = 17,362.65

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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.