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Finding the Fourth Proportional to 19,957.96, 29,943.42 and 9,568.36

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Solution

The fourth proportional to 19,957.96, 29,943.42 and 9,568.36 is: 14,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.96 : 29,943.42 = 9,568.36 : x
  2. Step 2: Convert to fraction form
    19,957.96/29,943.42 = 9,568.36/x
  3. Step 3: Cross multiply
    19,957.96x = 29,943.42 × 9,568.36
  4. Step 4: Simplify right side
    19,957.96x = 286,509,422.19
  5. Step 5: Solve for x
    x = 286,509,422.19/19,957.96
  6. Step 6: Final answer
    x = 14,355.65

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Why These Related Problems?

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