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Finding the Fourth Proportional to 24,792.84, 34,214.18 and 13,462.34

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Solution

The fourth proportional to 24,792.84, 34,214.18 and 13,462.34 is: 18,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.84 : 34,214.18 = 13,462.34 : x
  2. Step 2: Convert to fraction form
    24,792.84/34,214.18 = 13,462.34/x
  3. Step 3: Cross multiply
    24,792.84x = 34,214.18 × 13,462.34
  4. Step 4: Simplify right side
    24,792.84x = 460,602,685.60
  5. Step 5: Solve for x
    x = 460,602,685.60/24,792.84
  6. Step 6: Final answer
    x = 18,578.05

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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.