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Finding the Fourth Proportional to 25,443.72, 35,112.42 and 14,265

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Solution

The fourth proportional to 25,443.72, 35,112.42 and 14,265 is: 19,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443.72 : 35,112.42 = 14,265 : x
  2. Step 2: Convert to fraction form
    25,443.72/35,112.42 = 14,265/x
  3. Step 3: Cross multiply
    25,443.72x = 35,112.42 × 14,265
  4. Step 4: Simplify right side
    25,443.72x = 500,878,671.30
  5. Step 5: Solve for x
    x = 500,878,671.30/25,443.72
  6. Step 6: Final answer
    x = 19,685.75

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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.