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Finding the Fourth Proportional to 15,774.72, 23,659.56 and 9,453.12

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Solution

The fourth proportional to 15,774.72, 23,659.56 and 9,453.12 is: 14,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.72 : 23,659.56 = 9,453.12 : x
  2. Step 2: Convert to fraction form
    15,774.72/23,659.56 = 9,453.12/x
  3. Step 3: Cross multiply
    15,774.72x = 23,659.56 × 9,453.12
  4. Step 4: Simplify right side
    15,774.72x = 223,656,659.83
  5. Step 5: Solve for x
    x = 223,656,659.83/15,774.72
  6. Step 6: Final answer
    x = 14,178.17

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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.