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Finding the Fourth Proportional to 23,114.84, 34,663.72 and 8,319.76

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Solution

The fourth proportional to 23,114.84, 34,663.72 and 8,319.76 is: 12,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.84 : 34,663.72 = 8,319.76 : x
  2. Step 2: Convert to fraction form
    23,114.84/34,663.72 = 8,319.76/x
  3. Step 3: Cross multiply
    23,114.84x = 34,663.72 × 8,319.76
  4. Step 4: Simplify right side
    23,114.84x = 288,393,831.11
  5. Step 5: Solve for x
    x = 288,393,831.11/23,114.84
  6. Step 6: Final answer
    x = 12,476.57

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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.