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Finding the Fourth Proportional to 13,249.84, 19,877.16 and 5,454.40

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Solution

The fourth proportional to 13,249.84, 19,877.16 and 5,454.40 is: 8,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.84 : 19,877.16 = 5,454.40 : x
  2. Step 2: Convert to fraction form
    13,249.84/19,877.16 = 5,454.40/x
  3. Step 3: Cross multiply
    13,249.84x = 19,877.16 × 5,454.40
  4. Step 4: Simplify right side
    13,249.84x = 108,417,981.50
  5. Step 5: Solve for x
    x = 108,417,981.50/13,249.84
  6. Step 6: Final answer
    x = 8,182.59

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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.