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Finding the Fourth Proportional to 24,785.54, 37,154.28 and 8,134.10

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Solution

The fourth proportional to 24,785.54, 37,154.28 and 8,134.10 is: 12,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.54 : 37,154.28 = 8,134.10 : x
  2. Step 2: Convert to fraction form
    24,785.54/37,154.28 = 8,134.10/x
  3. Step 3: Cross multiply
    24,785.54x = 37,154.28 × 8,134.10
  4. Step 4: Simplify right side
    24,785.54x = 302,216,628.95
  5. Step 5: Solve for x
    x = 302,216,628.95/24,785.54
  6. Step 6: Final answer
    x = 12,193.26

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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.