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Finding the Fourth Proportional to 14,444.16, 21,702.78 and 13,860.96

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Solution

The fourth proportional to 14,444.16, 21,702.78 and 13,860.96 is: 20,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.16 : 21,702.78 = 13,860.96 : x
  2. Step 2: Convert to fraction form
    14,444.16/21,702.78 = 13,860.96/x
  3. Step 3: Cross multiply
    14,444.16x = 21,702.78 × 13,860.96
  4. Step 4: Simplify right side
    14,444.16x = 300,821,365.47
  5. Step 5: Solve for x
    x = 300,821,365.47/14,444.16
  6. Step 6: Final answer
    x = 20,826.50

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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.