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Finding the Fourth Proportional to 14,377.68, 19,820.88 and 14,180.40

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Solution

The fourth proportional to 14,377.68, 19,820.88 and 14,180.40 is: 19,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.68 : 19,820.88 = 14,180.40 : x
  2. Step 2: Convert to fraction form
    14,377.68/19,820.88 = 14,180.40/x
  3. Step 3: Cross multiply
    14,377.68x = 19,820.88 × 14,180.40
  4. Step 4: Simplify right side
    14,377.68x = 281,068,006.75
  5. Step 5: Solve for x
    x = 281,068,006.75/14,377.68
  6. Step 6: Final answer
    x = 19,548.91

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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.