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Finding the Fourth Proportional to 14,575.41, 20,113.88 and 8,203.14

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Solution

The fourth proportional to 14,575.41, 20,113.88 and 8,203.14 is: 11,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.41 : 20,113.88 = 8,203.14 : x
  2. Step 2: Convert to fraction form
    14,575.41/20,113.88 = 8,203.14/x
  3. Step 3: Cross multiply
    14,575.41x = 20,113.88 × 8,203.14
  4. Step 4: Simplify right side
    14,575.41x = 164,996,932.57
  5. Step 5: Solve for x
    x = 164,996,932.57/14,575.41
  6. Step 6: Final answer
    x = 11,320.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.