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Finding the Fourth Proportional to 24,689.76, 37,041.12 and 7,160.88

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Solution

The fourth proportional to 24,689.76, 37,041.12 and 7,160.88 is: 10,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.76 : 37,041.12 = 7,160.88 : x
  2. Step 2: Convert to fraction form
    24,689.76/37,041.12 = 7,160.88/x
  3. Step 3: Cross multiply
    24,689.76x = 37,041.12 × 7,160.88
  4. Step 4: Simplify right side
    24,689.76x = 265,247,015.39
  5. Step 5: Solve for x
    x = 265,247,015.39/24,689.76
  6. Step 6: Final answer
    x = 10,743.20

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1.5x scale

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.