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Finding the Fourth Proportional to 15,569.50, 23,363.97 and 6,335.50

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Solution

The fourth proportional to 15,569.50, 23,363.97 and 6,335.50 is: 9,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569.50 : 23,363.97 = 6,335.50 : x
  2. Step 2: Convert to fraction form
    15,569.50/23,363.97 = 6,335.50/x
  3. Step 3: Cross multiply
    15,569.50x = 23,363.97 × 6,335.50
  4. Step 4: Simplify right side
    15,569.50x = 148,022,431.94
  5. Step 5: Solve for x
    x = 148,022,431.94/15,569.50
  6. Step 6: Final answer
    x = 9,507.21

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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.