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Finding the Fourth Proportional to 15,856.84, 23,785.80 and 7,532.56

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Solution

The fourth proportional to 15,856.84, 23,785.80 and 7,532.56 is: 11,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.84 : 23,785.80 = 7,532.56 : x
  2. Step 2: Convert to fraction form
    15,856.84/23,785.80 = 7,532.56/x
  3. Step 3: Cross multiply
    15,856.84x = 23,785.80 × 7,532.56
  4. Step 4: Simplify right side
    15,856.84x = 179,167,965.65
  5. Step 5: Solve for x
    x = 179,167,965.65/15,856.84
  6. Step 6: Final answer
    x = 11,299.10

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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.