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Finding the Fourth Proportional to 15,506.68, 23,262.81 and 5,659.78

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Solution

The fourth proportional to 15,506.68, 23,262.81 and 5,659.78 is: 8,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.68 : 23,262.81 = 5,659.78 : x
  2. Step 2: Convert to fraction form
    15,506.68/23,262.81 = 5,659.78/x
  3. Step 3: Cross multiply
    15,506.68x = 23,262.81 × 5,659.78
  4. Step 4: Simplify right side
    15,506.68x = 131,662,386.78
  5. Step 5: Solve for x
    x = 131,662,386.78/15,506.68
  6. Step 6: Final answer
    x = 8,490.69

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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.