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Finding the Fourth Proportional to 15,234.55, 22,858.64 and 9,686.45

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Solution

The fourth proportional to 15,234.55, 22,858.64 and 9,686.45 is: 14,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.55 : 22,858.64 = 9,686.45 : x
  2. Step 2: Convert to fraction form
    15,234.55/22,858.64 = 9,686.45/x
  3. Step 3: Cross multiply
    15,234.55x = 22,858.64 × 9,686.45
  4. Step 4: Simplify right side
    15,234.55x = 221,419,073.43
  5. Step 5: Solve for x
    x = 221,419,073.43/15,234.55
  6. Step 6: Final answer
    x = 14,534.01

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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.