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Finding the Fourth Proportional to 17,710.69, 24,439.80 and 10,156.66

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Solution

The fourth proportional to 17,710.69, 24,439.80 and 10,156.66 is: 14,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.69 : 24,439.80 = 10,156.66 : x
  2. Step 2: Convert to fraction form
    17,710.69/24,439.80 = 10,156.66/x
  3. Step 3: Cross multiply
    17,710.69x = 24,439.80 × 10,156.66
  4. Step 4: Simplify right side
    17,710.69x = 248,226,616.87
  5. Step 5: Solve for x
    x = 248,226,616.87/17,710.69
  6. Step 6: Final answer
    x = 14,015.64

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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.