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Finding the Fourth Proportional to 24,822.30, 37,276.65 and 13,158.30

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Solution

The fourth proportional to 24,822.30, 37,276.65 and 13,158.30 is: 19,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.30 : 37,276.65 = 13,158.30 : x
  2. Step 2: Convert to fraction form
    24,822.30/37,276.65 = 13,158.30/x
  3. Step 3: Cross multiply
    24,822.30x = 37,276.65 × 13,158.30
  4. Step 4: Simplify right side
    24,822.30x = 490,497,343.70
  5. Step 5: Solve for x
    x = 490,497,343.70/24,822.30
  6. Step 6: Final answer
    x = 19,760.35

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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.