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Finding the Fourth Proportional to 10,059.07, 14,982.34 and 9,532.14

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Solution

The fourth proportional to 10,059.07, 14,982.34 and 9,532.14 is: 14,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.07 : 14,982.34 = 9,532.14 : x
  2. Step 2: Convert to fraction form
    10,059.07/14,982.34 = 9,532.14/x
  3. Step 3: Cross multiply
    10,059.07x = 14,982.34 × 9,532.14
  4. Step 4: Simplify right side
    10,059.07x = 142,813,762.41
  5. Step 5: Solve for x
    x = 142,813,762.41/10,059.07
  6. Step 6: Final answer
    x = 14,197.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.