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Finding the Fourth Proportional to 15,926.18, 23,895.74 and 7,165.22

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Solution

The fourth proportional to 15,926.18, 23,895.74 and 7,165.22 is: 10,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.18 : 23,895.74 = 7,165.22 : x
  2. Step 2: Convert to fraction form
    15,926.18/23,895.74 = 7,165.22/x
  3. Step 3: Cross multiply
    15,926.18x = 23,895.74 × 7,165.22
  4. Step 4: Simplify right side
    15,926.18x = 171,218,234.16
  5. Step 5: Solve for x
    x = 171,218,234.16/15,926.18
  6. Step 6: Final answer
    x = 10,750.74

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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.