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Finding the Fourth Proportional to 23,148.78, 34,722.20 and 9,818.10

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Solution

The fourth proportional to 23,148.78, 34,722.20 and 9,818.10 is: 14,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.78 : 34,722.20 = 9,818.10 : x
  2. Step 2: Convert to fraction form
    23,148.78/34,722.20 = 9,818.10/x
  3. Step 3: Cross multiply
    23,148.78x = 34,722.20 × 9,818.10
  4. Step 4: Simplify right side
    23,148.78x = 340,906,031.82
  5. Step 5: Solve for x
    x = 340,906,031.82/23,148.78
  6. Step 6: Final answer
    x = 14,726.74

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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.