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Finding the Fourth Proportional to 17,710.10, 24,437.39 and 10,156.75

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Solution

The fourth proportional to 17,710.10, 24,437.39 and 10,156.75 is: 14,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.10 : 24,437.39 = 10,156.75 : x
  2. Step 2: Convert to fraction form
    17,710.10/24,437.39 = 10,156.75/x
  3. Step 3: Cross multiply
    17,710.10x = 24,437.39 × 10,156.75
  4. Step 4: Simplify right side
    17,710.10x = 248,204,460.88
  5. Step 5: Solve for x
    x = 248,204,460.88/17,710.10
  6. Step 6: Final answer
    x = 14,014.85

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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.