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Finding the Fourth Proportional to 21,802.65, 32,699.11 and 8,651.49

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Solution

The fourth proportional to 21,802.65, 32,699.11 and 8,651.49 is: 12,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.65 : 32,699.11 = 8,651.49 : x
  2. Step 2: Convert to fraction form
    21,802.65/32,699.11 = 8,651.49/x
  3. Step 3: Cross multiply
    21,802.65x = 32,699.11 × 8,651.49
  4. Step 4: Simplify right side
    21,802.65x = 282,896,023.17
  5. Step 5: Solve for x
    x = 282,896,023.17/21,802.65
  6. Step 6: Final answer
    x = 12,975.30

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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.