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Finding the Fourth Proportional to 17,761.16, 24,502.26 and 10,307.72

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Solution

The fourth proportional to 17,761.16, 24,502.26 and 10,307.72 is: 14,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.16 : 24,502.26 = 10,307.72 : x
  2. Step 2: Convert to fraction form
    17,761.16/24,502.26 = 10,307.72/x
  3. Step 3: Cross multiply
    17,761.16x = 24,502.26 × 10,307.72
  4. Step 4: Simplify right side
    17,761.16x = 252,562,435.45
  5. Step 5: Solve for x
    x = 252,562,435.45/17,761.16
  6. Step 6: Final answer
    x = 14,219.93

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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.