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Finding the Fourth Proportional to 23,117.10, 34,654.53 and 8,322.63

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Solution

The fourth proportional to 23,117.10, 34,654.53 and 8,322.63 is: 12,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.10 : 34,654.53 = 8,322.63 : x
  2. Step 2: Convert to fraction form
    23,117.10/34,654.53 = 8,322.63/x
  3. Step 3: Cross multiply
    23,117.10x = 34,654.53 × 8,322.63
  4. Step 4: Simplify right side
    23,117.10x = 288,416,831.01
  5. Step 5: Solve for x
    x = 288,416,831.01/23,117.10
  6. Step 6: Final answer
    x = 12,476.34

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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.