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Finding the Fourth Proportional to 16,492, 22,759.23 and 9,040

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Solution

The fourth proportional to 16,492, 22,759.23 and 9,040 is: 12,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492 : 22,759.23 = 9,040 : x
  2. Step 2: Convert to fraction form
    16,492/22,759.23 = 9,040/x
  3. Step 3: Cross multiply
    16,492x = 22,759.23 × 9,040
  4. Step 4: Simplify right side
    16,492x = 205,743,439.20
  5. Step 5: Solve for x
    x = 205,743,439.20/16,492
  6. Step 6: Final answer
    x = 12,475.35

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Why These Related Problems?

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