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Finding the Fourth Proportional to 15,894.18, 23,825.07 and 7,126.74

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Solution

The fourth proportional to 15,894.18, 23,825.07 and 7,126.74 is: 10,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.18 : 23,825.07 = 7,126.74 : x
  2. Step 2: Convert to fraction form
    15,894.18/23,825.07 = 7,126.74/x
  3. Step 3: Cross multiply
    15,894.18x = 23,825.07 × 7,126.74
  4. Step 4: Simplify right side
    15,894.18x = 169,795,079.37
  5. Step 5: Solve for x
    x = 169,795,079.37/15,894.18
  6. Step 6: Final answer
    x = 10,682.85

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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.