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Finding the Fourth Proportional to 26,038.82, 39,058.24 and 7,318.10

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Solution

The fourth proportional to 26,038.82, 39,058.24 and 7,318.10 is: 10,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,038.82 : 39,058.24 = 7,318.10 : x
  2. Step 2: Convert to fraction form
    26,038.82/39,058.24 = 7,318.10/x
  3. Step 3: Cross multiply
    26,038.82x = 39,058.24 × 7,318.10
  4. Step 4: Simplify right side
    26,038.82x = 285,832,106.14
  5. Step 5: Solve for x
    x = 285,832,106.14/26,038.82
  6. Step 6: Final answer
    x = 10,977.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.