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Finding the Fourth Proportional to 24,792.91, 34,214.46 and 13,462.51

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Solution

The fourth proportional to 24,792.91, 34,214.46 and 13,462.51 is: 18,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.91 : 34,214.46 = 13,462.51 : x
  2. Step 2: Convert to fraction form
    24,792.91/34,214.46 = 13,462.51/x
  3. Step 3: Cross multiply
    24,792.91x = 34,214.46 × 13,462.51
  4. Step 4: Simplify right side
    24,792.91x = 460,612,509.89
  5. Step 5: Solve for x
    x = 460,612,509.89/24,792.91
  6. Step 6: Final answer
    x = 18,578.40

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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.