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Finding the Fourth Proportional to 23,854.72, 35,782.40 and 7,214.92

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Solution

The fourth proportional to 23,854.72, 35,782.40 and 7,214.92 is: 10,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.72 : 35,782.40 = 7,214.92 : x
  2. Step 2: Convert to fraction form
    23,854.72/35,782.40 = 7,214.92/x
  3. Step 3: Cross multiply
    23,854.72x = 35,782.40 × 7,214.92
  4. Step 4: Simplify right side
    23,854.72x = 258,167,153.41
  5. Step 5: Solve for x
    x = 258,167,153.41/23,854.72
  6. Step 6: Final answer
    x = 10,822.48

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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.