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Finding the Fourth Proportional to 12,294.08, 16,960.96 and 7,570.16

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Solution

The fourth proportional to 12,294.08, 16,960.96 and 7,570.16 is: 10,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.08 : 16,960.96 = 7,570.16 : x
  2. Step 2: Convert to fraction form
    12,294.08/16,960.96 = 7,570.16/x
  3. Step 3: Cross multiply
    12,294.08x = 16,960.96 × 7,570.16
  4. Step 4: Simplify right side
    12,294.08x = 128,397,180.95
  5. Step 5: Solve for x
    x = 128,397,180.95/12,294.08
  6. Step 6: Final answer
    x = 10,443.82

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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.