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Finding the Fourth Proportional to 19,756.96, 29,619.96 and 9,891.28

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Solution

The fourth proportional to 19,756.96, 29,619.96 and 9,891.28 is: 14,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.96 : 29,619.96 = 9,891.28 : x
  2. Step 2: Convert to fraction form
    19,756.96/29,619.96 = 9,891.28/x
  3. Step 3: Cross multiply
    19,756.96x = 29,619.96 × 9,891.28
  4. Step 4: Simplify right side
    19,756.96x = 292,979,317.95
  5. Step 5: Solve for x
    x = 292,979,317.95/19,756.96
  6. Step 6: Final answer
    x = 14,829.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.