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Finding the Fourth Proportional to 15,971.52, 23,954.04 and 4,282

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Solution

The fourth proportional to 15,971.52, 23,954.04 and 4,282 is: 6,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.52 : 23,954.04 = 4,282 : x
  2. Step 2: Convert to fraction form
    15,971.52/23,954.04 = 4,282/x
  3. Step 3: Cross multiply
    15,971.52x = 23,954.04 × 4,282
  4. Step 4: Simplify right side
    15,971.52x = 102,571,199.28
  5. Step 5: Solve for x
    x = 102,571,199.28/15,971.52
  6. Step 6: Final answer
    x = 6,422.13

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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.