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Finding the Fourth Proportional to 14,073.81, 19,418.68 and 8,407.45

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Solution

The fourth proportional to 14,073.81, 19,418.68 and 8,407.45 is: 11,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.81 : 19,418.68 = 8,407.45 : x
  2. Step 2: Convert to fraction form
    14,073.81/19,418.68 = 8,407.45/x
  3. Step 3: Cross multiply
    14,073.81x = 19,418.68 × 8,407.45
  4. Step 4: Simplify right side
    14,073.81x = 163,261,581.17
  5. Step 5: Solve for x
    x = 163,261,581.17/14,073.81
  6. Step 6: Final answer
    x = 11,600.38

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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.