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Finding the Fourth Proportional to 15,713.34, 23,538.84 and 9,475.02

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Solution

The fourth proportional to 15,713.34, 23,538.84 and 9,475.02 is: 14,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.34 : 23,538.84 = 9,475.02 : x
  2. Step 2: Convert to fraction form
    15,713.34/23,538.84 = 9,475.02/x
  3. Step 3: Cross multiply
    15,713.34x = 23,538.84 × 9,475.02
  4. Step 4: Simplify right side
    15,713.34x = 223,030,979.78
  5. Step 5: Solve for x
    x = 223,030,979.78/15,713.34
  6. Step 6: Final answer
    x = 14,193.73

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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.