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Finding the Fourth Proportional to 15,005.64, 22,510.26 and 5,146.68

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Solution

The fourth proportional to 15,005.64, 22,510.26 and 5,146.68 is: 7,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.64 : 22,510.26 = 5,146.68 : x
  2. Step 2: Convert to fraction form
    15,005.64/22,510.26 = 5,146.68/x
  3. Step 3: Cross multiply
    15,005.64x = 22,510.26 × 5,146.68
  4. Step 4: Simplify right side
    15,005.64x = 115,853,104.94
  5. Step 5: Solve for x
    x = 115,853,104.94/15,005.64
  6. Step 6: Final answer
    x = 7,720.64

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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.