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Finding the Fourth Proportional to 17,416.10, 24,041.57 and 11,758.51

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Solution

The fourth proportional to 17,416.10, 24,041.57 and 11,758.51 is: 16,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.10 : 24,041.57 = 11,758.51 : x
  2. Step 2: Convert to fraction form
    17,416.10/24,041.57 = 11,758.51/x
  3. Step 3: Cross multiply
    17,416.10x = 24,041.57 × 11,758.51
  4. Step 4: Simplify right side
    17,416.10x = 282,693,010.55
  5. Step 5: Solve for x
    x = 282,693,010.55/17,416.10
  6. Step 6: Final answer
    x = 16,231.70

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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.