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Finding the Fourth Proportional to 12,885.12, 17,780.85 and 7,219.17

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Solution

The fourth proportional to 12,885.12, 17,780.85 and 7,219.17 is: 9,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.12 : 17,780.85 = 7,219.17 : x
  2. Step 2: Convert to fraction form
    12,885.12/17,780.85 = 7,219.17/x
  3. Step 3: Cross multiply
    12,885.12x = 17,780.85 × 7,219.17
  4. Step 4: Simplify right side
    12,885.12x = 128,362,978.89
  5. Step 5: Solve for x
    x = 128,362,978.89/12,885.12
  6. Step 6: Final answer
    x = 9,962.11

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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.