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Finding the Fourth Proportional to 18,831.52, 25,988.32 and 10,448

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Solution

The fourth proportional to 18,831.52, 25,988.32 and 10,448 is: 14,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831.52 : 25,988.32 = 10,448 : x
  2. Step 2: Convert to fraction form
    18,831.52/25,988.32 = 10,448/x
  3. Step 3: Cross multiply
    18,831.52x = 25,988.32 × 10,448
  4. Step 4: Simplify right side
    18,831.52x = 271,525,967.36
  5. Step 5: Solve for x
    x = 271,525,967.36/18,831.52
  6. Step 6: Final answer
    x = 14,418.70

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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.