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Finding the Fourth Proportional to 23,422.76, 32,316.90 and 13,987.88

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Solution

The fourth proportional to 23,422.76, 32,316.90 and 13,987.88 is: 19,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.76 : 32,316.90 = 13,987.88 : x
  2. Step 2: Convert to fraction form
    23,422.76/32,316.90 = 13,987.88/x
  3. Step 3: Cross multiply
    23,422.76x = 32,316.90 × 13,987.88
  4. Step 4: Simplify right side
    23,422.76x = 452,044,919.17
  5. Step 5: Solve for x
    x = 452,044,919.17/23,422.76
  6. Step 6: Final answer
    x = 19,299.39

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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.