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Finding the Fourth Proportional to 14,264.50, 19,685.46 and 7,976.86

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Solution

The fourth proportional to 14,264.50, 19,685.46 and 7,976.86 is: 11,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.50 : 19,685.46 = 7,976.86 : x
  2. Step 2: Convert to fraction form
    14,264.50/19,685.46 = 7,976.86/x
  3. Step 3: Cross multiply
    14,264.50x = 19,685.46 × 7,976.86
  4. Step 4: Simplify right side
    14,264.50x = 157,028,158.46
  5. Step 5: Solve for x
    x = 157,028,158.46/14,264.50
  6. Step 6: Final answer
    x = 11,008.32

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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.