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Finding the Fourth Proportional to 21,886.65, 32,829.66 and 14,849.19

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Solution

The fourth proportional to 21,886.65, 32,829.66 and 14,849.19 is: 22,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.65 : 32,829.66 = 14,849.19 : x
  2. Step 2: Convert to fraction form
    21,886.65/32,829.66 = 14,849.19/x
  3. Step 3: Cross multiply
    21,886.65x = 32,829.66 × 14,849.19
  4. Step 4: Simplify right side
    21,886.65x = 487,493,858.98
  5. Step 5: Solve for x
    x = 487,493,858.98/21,886.65
  6. Step 6: Final answer
    x = 22,273.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.