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Finding the Fourth Proportional to 17,700.32, 24,422.52 and 10,244

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Solution

The fourth proportional to 17,700.32, 24,422.52 and 10,244 is: 14,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.32 : 24,422.52 = 10,244 : x
  2. Step 2: Convert to fraction form
    17,700.32/24,422.52 = 10,244/x
  3. Step 3: Cross multiply
    17,700.32x = 24,422.52 × 10,244
  4. Step 4: Simplify right side
    17,700.32x = 250,184,294.88
  5. Step 5: Solve for x
    x = 250,184,294.88/17,700.32
  6. Step 6: Final answer
    x = 14,134.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.