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Finding the Fourth Proportional to 20,254.64, 30,397.48 and 13,232.74

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Solution

The fourth proportional to 20,254.64, 30,397.48 and 13,232.74 is: 19,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.64 : 30,397.48 = 13,232.74 : x
  2. Step 2: Convert to fraction form
    20,254.64/30,397.48 = 13,232.74/x
  3. Step 3: Cross multiply
    20,254.64x = 30,397.48 × 13,232.74
  4. Step 4: Simplify right side
    20,254.64x = 402,241,949.50
  5. Step 5: Solve for x
    x = 402,241,949.50/20,254.64
  6. Step 6: Final answer
    x = 19,859.25

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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.