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Finding the Fourth Proportional to 14,774.64, 20,377.44 and 9,469.98

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Solution

The fourth proportional to 14,774.64, 20,377.44 and 9,469.98 is: 13,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.64 : 20,377.44 = 9,469.98 : x
  2. Step 2: Convert to fraction form
    14,774.64/20,377.44 = 9,469.98/x
  3. Step 3: Cross multiply
    14,774.64x = 20,377.44 × 9,469.98
  4. Step 4: Simplify right side
    14,774.64x = 192,973,949.25
  5. Step 5: Solve for x
    x = 192,973,949.25/14,774.64
  6. Step 6: Final answer
    x = 13,061.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.