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Finding the Fourth Proportional to 17,989.25, 24,825.26 and 10,031.96

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Solution

The fourth proportional to 17,989.25, 24,825.26 and 10,031.96 is: 13,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989.25 : 24,825.26 = 10,031.96 : x
  2. Step 2: Convert to fraction form
    17,989.25/24,825.26 = 10,031.96/x
  3. Step 3: Cross multiply
    17,989.25x = 24,825.26 × 10,031.96
  4. Step 4: Simplify right side
    17,989.25x = 249,046,102.45
  5. Step 5: Solve for x
    x = 249,046,102.45/17,989.25
  6. Step 6: Final answer
    x = 13,844.17

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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.