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Finding the Fourth Proportional to 25,894.39, 38,870.41 and 13,411.08

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Solution

The fourth proportional to 25,894.39, 38,870.41 and 13,411.08 is: 20,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.39 : 38,870.41 = 13,411.08 : x
  2. Step 2: Convert to fraction form
    25,894.39/38,870.41 = 13,411.08/x
  3. Step 3: Cross multiply
    25,894.39x = 38,870.41 × 13,411.08
  4. Step 4: Simplify right side
    25,894.39x = 521,293,916.74
  5. Step 5: Solve for x
    x = 521,293,916.74/25,894.39
  6. Step 6: Final answer
    x = 20,131.54

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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.