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Finding the Fourth Proportional to 24,534.02, 36,793.74 and 8,948

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Solution

The fourth proportional to 24,534.02, 36,793.74 and 8,948 is: 13,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.02 : 36,793.74 = 8,948 : x
  2. Step 2: Convert to fraction form
    24,534.02/36,793.74 = 8,948/x
  3. Step 3: Cross multiply
    24,534.02x = 36,793.74 × 8,948
  4. Step 4: Simplify right side
    24,534.02x = 329,230,385.52
  5. Step 5: Solve for x
    x = 329,230,385.52/24,534.02
  6. Step 6: Final answer
    x = 13,419.34

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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.