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Finding the Fourth Proportional to 15,107.40, 22,661.46 and 5,746.20

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Solution

The fourth proportional to 15,107.40, 22,661.46 and 5,746.20 is: 8,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.40 : 22,661.46 = 5,746.20 : x
  2. Step 2: Convert to fraction form
    15,107.40/22,661.46 = 5,746.20/x
  3. Step 3: Cross multiply
    15,107.40x = 22,661.46 × 5,746.20
  4. Step 4: Simplify right side
    15,107.40x = 130,217,281.45
  5. Step 5: Solve for x
    x = 130,217,281.45/15,107.40
  6. Step 6: Final answer
    x = 8,619.44

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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.