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Finding the Fourth Proportional to 14,067.90, 19,404.53 and 9,024.13

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Solution

The fourth proportional to 14,067.90, 19,404.53 and 9,024.13 is: 12,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.90 : 19,404.53 = 9,024.13 : x
  2. Step 2: Convert to fraction form
    14,067.90/19,404.53 = 9,024.13/x
  3. Step 3: Cross multiply
    14,067.90x = 19,404.53 × 9,024.13
  4. Step 4: Simplify right side
    14,067.90x = 175,108,859.17
  5. Step 5: Solve for x
    x = 175,108,859.17/14,067.90
  6. Step 6: Final answer
    x = 12,447.41

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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.