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Finding the Fourth Proportional to 17,764.16, 24,506.84 and 10,208.76

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Solution

The fourth proportional to 17,764.16, 24,506.84 and 10,208.76 is: 14,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.16 : 24,506.84 = 10,208.76 : x
  2. Step 2: Convert to fraction form
    17,764.16/24,506.84 = 10,208.76/x
  3. Step 3: Cross multiply
    17,764.16x = 24,506.84 × 10,208.76
  4. Step 4: Simplify right side
    17,764.16x = 250,184,447.92
  5. Step 5: Solve for x
    x = 250,184,447.92/17,764.16
  6. Step 6: Final answer
    x = 14,083.66

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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.