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Finding the Fourth Proportional to 13,284, 18,331.92 and 7,315.66

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Solution

The fourth proportional to 13,284, 18,331.92 and 7,315.66 is: 10,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 18,331.92 = 7,315.66 : x
  2. Step 2: Convert to fraction form
    13,284/18,331.92 = 7,315.66/x
  3. Step 3: Cross multiply
    13,284x = 18,331.92 × 7,315.66
  4. Step 4: Simplify right side
    13,284x = 134,110,013.67
  5. Step 5: Solve for x
    x = 134,110,013.67/13,284
  6. Step 6: Final answer
    x = 10,095.60

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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.