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Finding the Fourth Proportional to 14,491.59, 21,706.13 and 9,785.76

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Solution

The fourth proportional to 14,491.59, 21,706.13 and 9,785.76 is: 14,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.59 : 21,706.13 = 9,785.76 : x
  2. Step 2: Convert to fraction form
    14,491.59/21,706.13 = 9,785.76/x
  3. Step 3: Cross multiply
    14,491.59x = 21,706.13 × 9,785.76
  4. Step 4: Simplify right side
    14,491.59x = 212,410,929.78
  5. Step 5: Solve for x
    x = 212,410,929.78/14,491.59
  6. Step 6: Final answer
    x = 14,657.53

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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.