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Finding the Fourth Proportional to 15,704.76, 23,567.92 and 6,470.76

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Solution

The fourth proportional to 15,704.76, 23,567.92 and 6,470.76 is: 9,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.76 : 23,567.92 = 6,470.76 : x
  2. Step 2: Convert to fraction form
    15,704.76/23,567.92 = 6,470.76/x
  3. Step 3: Cross multiply
    15,704.76x = 23,567.92 × 6,470.76
  4. Step 4: Simplify right side
    15,704.76x = 152,502,354.02
  5. Step 5: Solve for x
    x = 152,502,354.02/15,704.76
  6. Step 6: Final answer
    x = 9,710.58

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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.