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Finding the Fourth Proportional to 15,175.20, 22,762.80 and 9,926.40

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Solution

The fourth proportional to 15,175.20, 22,762.80 and 9,926.40 is: 14,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.20 : 22,762.80 = 9,926.40 : x
  2. Step 2: Convert to fraction form
    15,175.20/22,762.80 = 9,926.40/x
  3. Step 3: Cross multiply
    15,175.20x = 22,762.80 × 9,926.40
  4. Step 4: Simplify right side
    15,175.20x = 225,952,657.92
  5. Step 5: Solve for x
    x = 225,952,657.92/15,175.20
  6. Step 6: Final answer
    x = 14,889.60

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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.