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Finding the Fourth Proportional to 10,433.31, 15,574.17 and 9,662.39

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Solution

The fourth proportional to 10,433.31, 15,574.17 and 9,662.39 is: 14,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.31 : 15,574.17 = 9,662.39 : x
  2. Step 2: Convert to fraction form
    10,433.31/15,574.17 = 9,662.39/x
  3. Step 3: Cross multiply
    10,433.31x = 15,574.17 × 9,662.39
  4. Step 4: Simplify right side
    10,433.31x = 150,483,721.23
  5. Step 5: Solve for x
    x = 150,483,721.23/10,433.31
  6. Step 6: Final answer
    x = 14,423.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.