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Finding the Fourth Proportional to 15,116.32, 22,681.89 and 6,802.21

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Solution

The fourth proportional to 15,116.32, 22,681.89 and 6,802.21 is: 10,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.32 : 22,681.89 = 6,802.21 : x
  2. Step 2: Convert to fraction form
    15,116.32/22,681.89 = 6,802.21/x
  3. Step 3: Cross multiply
    15,116.32x = 22,681.89 × 6,802.21
  4. Step 4: Simplify right side
    15,116.32x = 154,286,978.98
  5. Step 5: Solve for x
    x = 154,286,978.98/15,116.32
  6. Step 6: Final answer
    x = 10,206.65

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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.