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Finding the Fourth Proportional to 23,254.56, 34,894.50 and 10,106.88

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Solution

The fourth proportional to 23,254.56, 34,894.50 and 10,106.88 is: 15,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.56 : 34,894.50 = 10,106.88 : x
  2. Step 2: Convert to fraction form
    23,254.56/34,894.50 = 10,106.88/x
  3. Step 3: Cross multiply
    23,254.56x = 34,894.50 × 10,106.88
  4. Step 4: Simplify right side
    23,254.56x = 352,674,524.16
  5. Step 5: Solve for x
    x = 352,674,524.16/23,254.56
  6. Step 6: Final answer
    x = 15,165.82

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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.