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Finding the Fourth Proportional to 10,182.16, 15,242.52 and 9,208.72

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Solution

The fourth proportional to 10,182.16, 15,242.52 and 9,208.72 is: 13,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.16 : 15,242.52 = 9,208.72 : x
  2. Step 2: Convert to fraction form
    10,182.16/15,242.52 = 9,208.72/x
  3. Step 3: Cross multiply
    10,182.16x = 15,242.52 × 9,208.72
  4. Step 4: Simplify right side
    10,182.16x = 140,364,098.77
  5. Step 5: Solve for x
    x = 140,364,098.77/10,182.16
  6. Step 6: Final answer
    x = 13,785.30

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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.