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Finding the Fourth Proportional to 14,805.64, 20,422.38 and 9,498.52

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Solution

The fourth proportional to 14,805.64, 20,422.38 and 9,498.52 is: 13,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.64 : 20,422.38 = 9,498.52 : x
  2. Step 2: Convert to fraction form
    14,805.64/20,422.38 = 9,498.52/x
  3. Step 3: Cross multiply
    14,805.64x = 20,422.38 × 9,498.52
  4. Step 4: Simplify right side
    14,805.64x = 193,982,384.88
  5. Step 5: Solve for x
    x = 193,982,384.88/14,805.64
  6. Step 6: Final answer
    x = 13,101.93

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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.