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Finding the Fourth Proportional to 15,314.50, 22,963.26 and 5,948.74

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Solution

The fourth proportional to 15,314.50, 22,963.26 and 5,948.74 is: 8,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.50 : 22,963.26 = 5,948.74 : x
  2. Step 2: Convert to fraction form
    15,314.50/22,963.26 = 5,948.74/x
  3. Step 3: Cross multiply
    15,314.50x = 22,963.26 × 5,948.74
  4. Step 4: Simplify right side
    15,314.50x = 136,602,463.29
  5. Step 5: Solve for x
    x = 136,602,463.29/15,314.50
  6. Step 6: Final answer
    x = 8,919.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.