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Finding the Fourth Proportional to 23,779.44, 32,821.08 and 15,822

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Solution

The fourth proportional to 23,779.44, 32,821.08 and 15,822 is: 21,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.44 : 32,821.08 = 15,822 : x
  2. Step 2: Convert to fraction form
    23,779.44/32,821.08 = 15,822/x
  3. Step 3: Cross multiply
    23,779.44x = 32,821.08 × 15,822
  4. Step 4: Simplify right side
    23,779.44x = 519,295,127.76
  5. Step 5: Solve for x
    x = 519,295,127.76/23,779.44
  6. Step 6: Final answer
    x = 21,837.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.