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Finding the Fourth Proportional to 14,862.18, 22,321.02 and 13,083.87

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Solution

The fourth proportional to 14,862.18, 22,321.02 and 13,083.87 is: 19,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.18 : 22,321.02 = 13,083.87 : x
  2. Step 2: Convert to fraction form
    14,862.18/22,321.02 = 13,083.87/x
  3. Step 3: Cross multiply
    14,862.18x = 22,321.02 × 13,083.87
  4. Step 4: Simplify right side
    14,862.18x = 292,045,323.95
  5. Step 5: Solve for x
    x = 292,045,323.95/14,862.18
  6. Step 6: Final answer
    x = 19,650.23

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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.