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Finding the Fourth Proportional to 14,498.84, 21,726.92 and 6,483.90

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Solution

The fourth proportional to 14,498.84, 21,726.92 and 6,483.90 is: 9,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498.84 : 21,726.92 = 6,483.90 : x
  2. Step 2: Convert to fraction form
    14,498.84/21,726.92 = 6,483.90/x
  3. Step 3: Cross multiply
    14,498.84x = 21,726.92 × 6,483.90
  4. Step 4: Simplify right side
    14,498.84x = 140,875,176.59
  5. Step 5: Solve for x
    x = 140,875,176.59/14,498.84
  6. Step 6: Final answer
    x = 9,716.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.