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Finding the Fourth Proportional to 23,569.57, 35,378.96 and 10,431.17

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Solution

The fourth proportional to 23,569.57, 35,378.96 and 10,431.17 is: 15,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569.57 : 35,378.96 = 10,431.17 : x
  2. Step 2: Convert to fraction form
    23,569.57/35,378.96 = 10,431.17/x
  3. Step 3: Cross multiply
    23,569.57x = 35,378.96 × 10,431.17
  4. Step 4: Simplify right side
    23,569.57x = 369,043,946.18
  5. Step 5: Solve for x
    x = 369,043,946.18/23,569.57
  6. Step 6: Final answer
    x = 15,657.64

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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.