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Finding the Fourth Proportional to 13,774.98, 20,657.16 and 4,413

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Solution

The fourth proportional to 13,774.98, 20,657.16 and 4,413 is: 6,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.98 : 20,657.16 = 4,413 : x
  2. Step 2: Convert to fraction form
    13,774.98/20,657.16 = 4,413/x
  3. Step 3: Cross multiply
    13,774.98x = 20,657.16 × 4,413
  4. Step 4: Simplify right side
    13,774.98x = 91,160,047.08
  5. Step 5: Solve for x
    x = 91,160,047.08/13,774.98
  6. Step 6: Final answer
    x = 6,617.80

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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.