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Finding the Fourth Proportional to 24,696, 34,089.12 and 14,760

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Solution

The fourth proportional to 24,696, 34,089.12 and 14,760 is: 20,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696 : 34,089.12 = 14,760 : x
  2. Step 2: Convert to fraction form
    24,696/34,089.12 = 14,760/x
  3. Step 3: Cross multiply
    24,696x = 34,089.12 × 14,760
  4. Step 4: Simplify right side
    24,696x = 503,155,411.20
  5. Step 5: Solve for x
    x = 503,155,411.20/24,696
  6. Step 6: Final answer
    x = 20,373.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.