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Finding the Fourth Proportional to 17,577, 26,364.78 and 10,176.12

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Solution

The fourth proportional to 17,577, 26,364.78 and 10,176.12 is: 15,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577 : 26,364.78 = 10,176.12 : x
  2. Step 2: Convert to fraction form
    17,577/26,364.78 = 10,176.12/x
  3. Step 3: Cross multiply
    17,577x = 26,364.78 × 10,176.12
  4. Step 4: Simplify right side
    17,577x = 268,291,165.05
  5. Step 5: Solve for x
    x = 268,291,165.05/17,577
  6. Step 6: Final answer
    x = 15,263.76

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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.