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Finding the Fourth Proportional to 12,967.02, 17,886.15 and 7,661.52

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Solution

The fourth proportional to 12,967.02, 17,886.15 and 7,661.52 is: 10,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.02 : 17,886.15 = 7,661.52 : x
  2. Step 2: Convert to fraction form
    12,967.02/17,886.15 = 7,661.52/x
  3. Step 3: Cross multiply
    12,967.02x = 17,886.15 × 7,661.52
  4. Step 4: Simplify right side
    12,967.02x = 137,035,095.95
  5. Step 5: Solve for x
    x = 137,035,095.95/12,967.02
  6. Step 6: Final answer
    x = 10,567.97

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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.