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Finding the Fourth Proportional to 15,407.40, 23,132.70 and 9,575.40

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Solution

The fourth proportional to 15,407.40, 23,132.70 and 9,575.40 is: 14,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.40 : 23,132.70 = 9,575.40 : x
  2. Step 2: Convert to fraction form
    15,407.40/23,132.70 = 9,575.40/x
  3. Step 3: Cross multiply
    15,407.40x = 23,132.70 × 9,575.40
  4. Step 4: Simplify right side
    15,407.40x = 221,504,855.58
  5. Step 5: Solve for x
    x = 221,504,855.58/15,407.40
  6. Step 6: Final answer
    x = 14,376.52

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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.