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Finding the Fourth Proportional to 25,282.32, 34,875 and 15,203.76

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Solution

The fourth proportional to 25,282.32, 34,875 and 15,203.76 is: 20,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.32 : 34,875 = 15,203.76 : x
  2. Step 2: Convert to fraction form
    25,282.32/34,875 = 15,203.76/x
  3. Step 3: Cross multiply
    25,282.32x = 34,875 × 15,203.76
  4. Step 4: Simplify right side
    25,282.32x = 530,231,130
  5. Step 5: Solve for x
    x = 530,231,130/25,282.32
  6. Step 6: Final answer
    x = 20,972.41

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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.