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Finding the Fourth Proportional to 23,443.59, 35,166.52 and 7,648.59

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Solution

The fourth proportional to 23,443.59, 35,166.52 and 7,648.59 is: 11,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.59 : 35,166.52 = 7,648.59 : x
  2. Step 2: Convert to fraction form
    23,443.59/35,166.52 = 7,648.59/x
  3. Step 3: Cross multiply
    23,443.59x = 35,166.52 × 7,648.59
  4. Step 4: Simplify right side
    23,443.59x = 268,974,293.21
  5. Step 5: Solve for x
    x = 268,974,293.21/23,443.59
  6. Step 6: Final answer
    x = 11,473.26

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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.