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Finding the Fourth Proportional to 16,468.39, 22,726.29 and 9,757.34

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Solution

The fourth proportional to 16,468.39, 22,726.29 and 9,757.34 is: 13,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.39 : 22,726.29 = 9,757.34 : x
  2. Step 2: Convert to fraction form
    16,468.39/22,726.29 = 9,757.34/x
  3. Step 3: Cross multiply
    16,468.39x = 22,726.29 × 9,757.34
  4. Step 4: Simplify right side
    16,468.39x = 221,748,138.47
  5. Step 5: Solve for x
    x = 221,748,138.47/16,468.39
  6. Step 6: Final answer
    x = 13,465.08

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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.