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Finding the Fourth Proportional to 15,229, 22,720.64 and 13,566.88

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Solution

The fourth proportional to 15,229, 22,720.64 and 13,566.88 is: 20,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229 : 22,720.64 = 13,566.88 : x
  2. Step 2: Convert to fraction form
    15,229/22,720.64 = 13,566.88/x
  3. Step 3: Cross multiply
    15,229x = 22,720.64 × 13,566.88
  4. Step 4: Simplify right side
    15,229x = 308,248,196.40
  5. Step 5: Solve for x
    x = 308,248,196.40/15,229
  6. Step 6: Final answer
    x = 20,240.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.