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Finding the Fourth Proportional to 17,989.92, 24,824.28 and 10,031.40

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Solution

The fourth proportional to 17,989.92, 24,824.28 and 10,031.40 is: 13,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989.92 : 24,824.28 = 10,031.40 : x
  2. Step 2: Convert to fraction form
    17,989.92/24,824.28 = 10,031.40/x
  3. Step 3: Cross multiply
    17,989.92x = 24,824.28 × 10,031.40
  4. Step 4: Simplify right side
    17,989.92x = 249,022,282.39
  5. Step 5: Solve for x
    x = 249,022,282.39/17,989.92
  6. Step 6: Final answer
    x = 13,842.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.