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Finding the Fourth Proportional to 14,404.12, 19,877.70 and 7,780.12

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Solution

The fourth proportional to 14,404.12, 19,877.70 and 7,780.12 is: 10,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.12 : 19,877.70 = 7,780.12 : x
  2. Step 2: Convert to fraction form
    14,404.12/19,877.70 = 7,780.12/x
  3. Step 3: Cross multiply
    14,404.12x = 19,877.70 × 7,780.12
  4. Step 4: Simplify right side
    14,404.12x = 154,650,891.32
  5. Step 5: Solve for x
    x = 154,650,891.32/14,404.12
  6. Step 6: Final answer
    x = 10,736.57

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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.