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Finding the Fourth Proportional to 22,575.19, 31,154.20 and 13,509.87

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Solution

The fourth proportional to 22,575.19, 31,154.20 and 13,509.87 is: 18,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.19 : 31,154.20 = 13,509.87 : x
  2. Step 2: Convert to fraction form
    22,575.19/31,154.20 = 13,509.87/x
  3. Step 3: Cross multiply
    22,575.19x = 31,154.20 × 13,509.87
  4. Step 4: Simplify right side
    22,575.19x = 420,889,191.95
  5. Step 5: Solve for x
    x = 420,889,191.95/22,575.19
  6. Step 6: Final answer
    x = 18,643.88

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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.