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Finding the Fourth Proportional to 10,133.70, 15,200.55 and 9,039.30

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Solution

The fourth proportional to 10,133.70, 15,200.55 and 9,039.30 is: 13,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.70 : 15,200.55 = 9,039.30 : x
  2. Step 2: Convert to fraction form
    10,133.70/15,200.55 = 9,039.30/x
  3. Step 3: Cross multiply
    10,133.70x = 15,200.55 × 9,039.30
  4. Step 4: Simplify right side
    10,133.70x = 137,402,331.62
  5. Step 5: Solve for x
    x = 137,402,331.62/10,133.70
  6. Step 6: Final answer
    x = 13,558.95

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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.