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Finding the Fourth Proportional to 15,032.21, 20,753.87 and 9,656.82

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Solution

The fourth proportional to 15,032.21, 20,753.87 and 9,656.82 is: 13,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032.21 : 20,753.87 = 9,656.82 : x
  2. Step 2: Convert to fraction form
    15,032.21/20,753.87 = 9,656.82/x
  3. Step 3: Cross multiply
    15,032.21x = 20,753.87 × 9,656.82
  4. Step 4: Simplify right side
    15,032.21x = 200,416,338.61
  5. Step 5: Solve for x
    x = 200,416,338.61/15,032.21
  6. Step 6: Final answer
    x = 13,332.46

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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.