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Finding the Fourth Proportional to 14,685.12, 20,264.92 and 7,970.61

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Solution

The fourth proportional to 14,685.12, 20,264.92 and 7,970.61 is: 10,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.12 : 20,264.92 = 7,970.61 : x
  2. Step 2: Convert to fraction form
    14,685.12/20,264.92 = 7,970.61/x
  3. Step 3: Cross multiply
    14,685.12x = 20,264.92 × 7,970.61
  4. Step 4: Simplify right side
    14,685.12x = 161,523,707.55
  5. Step 5: Solve for x
    x = 161,523,707.55/14,685.12
  6. Step 6: Final answer
    x = 10,999.14

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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.