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Finding the Fourth Proportional to 12,784.60, 19,178.79 and 6,548.14

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Solution

The fourth proportional to 12,784.60, 19,178.79 and 6,548.14 is: 9,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.60 : 19,178.79 = 6,548.14 : x
  2. Step 2: Convert to fraction form
    12,784.60/19,178.79 = 6,548.14/x
  3. Step 3: Cross multiply
    12,784.60x = 19,178.79 × 6,548.14
  4. Step 4: Simplify right side
    12,784.60x = 125,585,401.95
  5. Step 5: Solve for x
    x = 125,585,401.95/12,784.60
  6. Step 6: Final answer
    x = 9,823.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.