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Finding the Fourth Proportional to 26,257.16, 36,265.12 and 19,119

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Solution

The fourth proportional to 26,257.16, 36,265.12 and 19,119 is: 26,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.16 : 36,265.12 = 19,119 : x
  2. Step 2: Convert to fraction form
    26,257.16/36,265.12 = 19,119/x
  3. Step 3: Cross multiply
    26,257.16x = 36,265.12 × 19,119
  4. Step 4: Simplify right side
    26,257.16x = 693,352,829.28
  5. Step 5: Solve for x
    x = 693,352,829.28/26,257.16
  6. Step 6: Final answer
    x = 26,406.24

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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.