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Finding the Fourth Proportional to 14,264.24, 19,684.80 and 7,976.96

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Solution

The fourth proportional to 14,264.24, 19,684.80 and 7,976.96 is: 11,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.24 : 19,684.80 = 7,976.96 : x
  2. Step 2: Convert to fraction form
    14,264.24/19,684.80 = 7,976.96/x
  3. Step 3: Cross multiply
    14,264.24x = 19,684.80 × 7,976.96
  4. Step 4: Simplify right side
    14,264.24x = 157,024,862.21
  5. Step 5: Solve for x
    x = 157,024,862.21/14,264.24
  6. Step 6: Final answer
    x = 11,008.29

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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.