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Finding the Fourth Proportional to 13,454.88, 18,562.32 and 8,484

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Solution

The fourth proportional to 13,454.88, 18,562.32 and 8,484 is: 11,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.88 : 18,562.32 = 8,484 : x
  2. Step 2: Convert to fraction form
    13,454.88/18,562.32 = 8,484/x
  3. Step 3: Cross multiply
    13,454.88x = 18,562.32 × 8,484
  4. Step 4: Simplify right side
    13,454.88x = 157,482,722.88
  5. Step 5: Solve for x
    x = 157,482,722.88/13,454.88
  6. Step 6: Final answer
    x = 11,704.51

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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.