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Finding the Fourth Proportional to 15,807.56, 23,729.66 and 9,238.46

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Solution

The fourth proportional to 15,807.56, 23,729.66 and 9,238.46 is: 13,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.56 : 23,729.66 = 9,238.46 : x
  2. Step 2: Convert to fraction form
    15,807.56/23,729.66 = 9,238.46/x
  3. Step 3: Cross multiply
    15,807.56x = 23,729.66 × 9,238.46
  4. Step 4: Simplify right side
    15,807.56x = 219,225,514.72
  5. Step 5: Solve for x
    x = 219,225,514.72/15,807.56
  6. Step 6: Final answer
    x = 13,868.40

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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.