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Finding the Fourth Proportional to 12,780.34, 19,159.17 and 4,994.62

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Solution

The fourth proportional to 12,780.34, 19,159.17 and 4,994.62 is: 7,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.34 : 19,159.17 = 4,994.62 : x
  2. Step 2: Convert to fraction form
    12,780.34/19,159.17 = 4,994.62/x
  3. Step 3: Cross multiply
    12,780.34x = 19,159.17 × 4,994.62
  4. Step 4: Simplify right side
    12,780.34x = 95,692,773.67
  5. Step 5: Solve for x
    x = 95,692,773.67/12,780.34
  6. Step 6: Final answer
    x = 7,487.50

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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.