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Finding the Fourth Proportional to 15,115.74, 22,666.41 and 7,723.50

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Solution

The fourth proportional to 15,115.74, 22,666.41 and 7,723.50 is: 11,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.74 : 22,666.41 = 7,723.50 : x
  2. Step 2: Convert to fraction form
    15,115.74/22,666.41 = 7,723.50/x
  3. Step 3: Cross multiply
    15,115.74x = 22,666.41 × 7,723.50
  4. Step 4: Simplify right side
    15,115.74x = 175,064,017.64
  5. Step 5: Solve for x
    x = 175,064,017.64/15,115.74
  6. Step 6: Final answer
    x = 11,581.57

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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.