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Finding the Fourth Proportional to 15,126.53, 20,865.76 and 9,824.88

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Solution

The fourth proportional to 15,126.53, 20,865.76 and 9,824.88 is: 13,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.53 : 20,865.76 = 9,824.88 : x
  2. Step 2: Convert to fraction form
    15,126.53/20,865.76 = 9,824.88/x
  3. Step 3: Cross multiply
    15,126.53x = 20,865.76 × 9,824.88
  4. Step 4: Simplify right side
    15,126.53x = 205,003,588.11
  5. Step 5: Solve for x
    x = 205,003,588.11/15,126.53
  6. Step 6: Final answer
    x = 13,552.59

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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.