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Finding the Fourth Proportional to 14,919.17, 22,378.14 and 5,058.44

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Solution

The fourth proportional to 14,919.17, 22,378.14 and 5,058.44 is: 7,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.17 : 22,378.14 = 5,058.44 : x
  2. Step 2: Convert to fraction form
    14,919.17/22,378.14 = 5,058.44/x
  3. Step 3: Cross multiply
    14,919.17x = 22,378.14 × 5,058.44
  4. Step 4: Simplify right side
    14,919.17x = 113,198,366.61
  5. Step 5: Solve for x
    x = 113,198,366.61/14,919.17
  6. Step 6: Final answer
    x = 7,587.45

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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.