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Finding the Fourth Proportional to 13,502.40, 20,255.76 and 5,182.08

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Solution

The fourth proportional to 13,502.40, 20,255.76 and 5,182.08 is: 7,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.40 : 20,255.76 = 5,182.08 : x
  2. Step 2: Convert to fraction form
    13,502.40/20,255.76 = 5,182.08/x
  3. Step 3: Cross multiply
    13,502.40x = 20,255.76 × 5,182.08
  4. Step 4: Simplify right side
    13,502.40x = 104,966,968.78
  5. Step 5: Solve for x
    x = 104,966,968.78/13,502.40
  6. Step 6: Final answer
    x = 7,773.95

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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.