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Finding the Fourth Proportional to 21,486.87, 32,199.15 and 15,259.08

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Solution

The fourth proportional to 21,486.87, 32,199.15 and 15,259.08 is: 22,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.87 : 32,199.15 = 15,259.08 : x
  2. Step 2: Convert to fraction form
    21,486.87/32,199.15 = 15,259.08/x
  3. Step 3: Cross multiply
    21,486.87x = 32,199.15 × 15,259.08
  4. Step 4: Simplify right side
    21,486.87x = 491,329,405.78
  5. Step 5: Solve for x
    x = 491,329,405.78/21,486.87
  6. Step 6: Final answer
    x = 22,866.50

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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.