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Finding the Fourth Proportional to 17,705.97, 24,433.80 and 10,156.77

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Solution

The fourth proportional to 17,705.97, 24,433.80 and 10,156.77 is: 14,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.97 : 24,433.80 = 10,156.77 : x
  2. Step 2: Convert to fraction form
    17,705.97/24,433.80 = 10,156.77/x
  3. Step 3: Cross multiply
    17,705.97x = 24,433.80 × 10,156.77
  4. Step 4: Simplify right side
    17,705.97x = 248,168,486.83
  5. Step 5: Solve for x
    x = 248,168,486.83/17,705.97
  6. Step 6: Final answer
    x = 14,016.09

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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.