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Finding the Fourth Proportional to 25,872.84, 35,703.92 and 14,386.97

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Solution

The fourth proportional to 25,872.84, 35,703.92 and 14,386.97 is: 19,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.84 : 35,703.92 = 14,386.97 : x
  2. Step 2: Convert to fraction form
    25,872.84/35,703.92 = 14,386.97/x
  3. Step 3: Cross multiply
    25,872.84x = 35,703.92 × 14,386.97
  4. Step 4: Simplify right side
    25,872.84x = 513,671,351.15
  5. Step 5: Solve for x
    x = 513,671,351.15/25,872.84
  6. Step 6: Final answer
    x = 19,853.69

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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.