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Finding the Fourth Proportional to 24,549.76, 36,837.44 and 13,461.68

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Solution

The fourth proportional to 24,549.76, 36,837.44 and 13,461.68 is: 20,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.76 : 36,837.44 = 13,461.68 : x
  2. Step 2: Convert to fraction form
    24,549.76/36,837.44 = 13,461.68/x
  3. Step 3: Cross multiply
    24,549.76x = 36,837.44 × 13,461.68
  4. Step 4: Simplify right side
    24,549.76x = 495,893,829.30
  5. Step 5: Solve for x
    x = 495,893,829.30/24,549.76
  6. Step 6: Final answer
    x = 20,199.54

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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.