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Finding the Fourth Proportional to 25,681, 35,439.78 and 13,905

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Solution

The fourth proportional to 25,681, 35,439.78 and 13,905 is: 19,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,681 : 35,439.78 = 13,905 : x
  2. Step 2: Convert to fraction form
    25,681/35,439.78 = 13,905/x
  3. Step 3: Cross multiply
    25,681x = 35,439.78 × 13,905
  4. Step 4: Simplify right side
    25,681x = 492,790,140.90
  5. Step 5: Solve for x
    x = 492,790,140.90/25,681
  6. Step 6: Final answer
    x = 19,188.90

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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.