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Finding the Fourth Proportional to 12,784.36, 17,641.15 and 7,118.89

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Solution

The fourth proportional to 12,784.36, 17,641.15 and 7,118.89 is: 9,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.36 : 17,641.15 = 7,118.89 : x
  2. Step 2: Convert to fraction form
    12,784.36/17,641.15 = 7,118.89/x
  3. Step 3: Cross multiply
    12,784.36x = 17,641.15 × 7,118.89
  4. Step 4: Simplify right side
    12,784.36x = 125,585,394.48
  5. Step 5: Solve for x
    x = 125,585,394.48/12,784.36
  6. Step 6: Final answer
    x = 9,823.36

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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.