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Finding the Fourth Proportional to 23,689.41, 35,533.62 and 9,648.87

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Solution

The fourth proportional to 23,689.41, 35,533.62 and 9,648.87 is: 14,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.41 : 35,533.62 = 9,648.87 : x
  2. Step 2: Convert to fraction form
    23,689.41/35,533.62 = 9,648.87/x
  3. Step 3: Cross multiply
    23,689.41x = 35,533.62 × 9,648.87
  4. Step 4: Simplify right side
    23,689.41x = 342,859,280.01
  5. Step 5: Solve for x
    x = 342,859,280.01/23,689.41
  6. Step 6: Final answer
    x = 14,473.10

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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.