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Finding the Fourth Proportional to 24,913.64, 37,376.52 and 7,144.64

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Solution

The fourth proportional to 24,913.64, 37,376.52 and 7,144.64 is: 10,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913.64 : 37,376.52 = 7,144.64 : x
  2. Step 2: Convert to fraction form
    24,913.64/37,376.52 = 7,144.64/x
  3. Step 3: Cross multiply
    24,913.64x = 37,376.52 × 7,144.64
  4. Step 4: Simplify right side
    24,913.64x = 267,041,779.85
  5. Step 5: Solve for x
    x = 267,041,779.85/24,913.64
  6. Step 6: Final answer
    x = 10,718.70

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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.