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Finding the Fourth Proportional to 13,602.32, 18,771.40 and 7,470.53

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Solution

The fourth proportional to 13,602.32, 18,771.40 and 7,470.53 is: 10,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.32 : 18,771.40 = 7,470.53 : x
  2. Step 2: Convert to fraction form
    13,602.32/18,771.40 = 7,470.53/x
  3. Step 3: Cross multiply
    13,602.32x = 18,771.40 × 7,470.53
  4. Step 4: Simplify right side
    13,602.32x = 140,232,250.69
  5. Step 5: Solve for x
    x = 140,232,250.69/13,602.32
  6. Step 6: Final answer
    x = 10,309.44

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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.