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Finding the Fourth Proportional to 15,129.86, 22,686.96 and 6,802.76

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Solution

The fourth proportional to 15,129.86, 22,686.96 and 6,802.76 is: 10,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.86 : 22,686.96 = 6,802.76 : x
  2. Step 2: Convert to fraction form
    15,129.86/22,686.96 = 6,802.76/x
  3. Step 3: Cross multiply
    15,129.86x = 22,686.96 × 6,802.76
  4. Step 4: Simplify right side
    15,129.86x = 154,333,944.01
  5. Step 5: Solve for x
    x = 154,333,944.01/15,129.86
  6. Step 6: Final answer
    x = 10,200.62

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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.