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Finding the Fourth Proportional to 15,585.50, 23,372.71 and 5,052.95

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Solution

The fourth proportional to 15,585.50, 23,372.71 and 5,052.95 is: 7,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.50 : 23,372.71 = 5,052.95 : x
  2. Step 2: Convert to fraction form
    15,585.50/23,372.71 = 5,052.95/x
  3. Step 3: Cross multiply
    15,585.50x = 23,372.71 × 5,052.95
  4. Step 4: Simplify right side
    15,585.50x = 118,101,180.79
  5. Step 5: Solve for x
    x = 118,101,180.79/15,585.50
  6. Step 6: Final answer
    x = 7,577.63

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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.