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Finding the Fourth Proportional to 23,411.69, 35,117.84 and 7,829.31

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Solution

The fourth proportional to 23,411.69, 35,117.84 and 7,829.31 is: 11,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.69 : 35,117.84 = 7,829.31 : x
  2. Step 2: Convert to fraction form
    23,411.69/35,117.84 = 7,829.31/x
  3. Step 3: Cross multiply
    23,411.69x = 35,117.84 × 7,829.31
  4. Step 4: Simplify right side
    23,411.69x = 274,948,455.89
  5. Step 5: Solve for x
    x = 274,948,455.89/23,411.69
  6. Step 6: Final answer
    x = 11,744.07

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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.