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Finding the Fourth Proportional to 23,117.76, 34,683.12 and 9,276.48

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Solution

The fourth proportional to 23,117.76, 34,683.12 and 9,276.48 is: 13,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.76 : 34,683.12 = 9,276.48 : x
  2. Step 2: Convert to fraction form
    23,117.76/34,683.12 = 9,276.48/x
  3. Step 3: Cross multiply
    23,117.76x = 34,683.12 × 9,276.48
  4. Step 4: Simplify right side
    23,117.76x = 321,737,269.02
  5. Step 5: Solve for x
    x = 321,737,269.02/23,117.76
  6. Step 6: Final answer
    x = 13,917.32

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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.