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Finding the Fourth Proportional to 24,746.88, 37,125.12 and 7,216.80

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Solution

The fourth proportional to 24,746.88, 37,125.12 and 7,216.80 is: 10,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.88 : 37,125.12 = 7,216.80 : x
  2. Step 2: Convert to fraction form
    24,746.88/37,125.12 = 7,216.80/x
  3. Step 3: Cross multiply
    24,746.88x = 37,125.12 × 7,216.80
  4. Step 4: Simplify right side
    24,746.88x = 267,924,566.02
  5. Step 5: Solve for x
    x = 267,924,566.02/24,746.88
  6. Step 6: Final answer
    x = 10,826.60

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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.