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Finding the Fourth Proportional to 24,358.36, 36,515.58 and 8,765

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Solution

The fourth proportional to 24,358.36, 36,515.58 and 8,765 is: 13,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.36 : 36,515.58 = 8,765 : x
  2. Step 2: Convert to fraction form
    24,358.36/36,515.58 = 8,765/x
  3. Step 3: Cross multiply
    24,358.36x = 36,515.58 × 8,765
  4. Step 4: Simplify right side
    24,358.36x = 320,059,058.70
  5. Step 5: Solve for x
    x = 320,059,058.70/24,358.36
  6. Step 6: Final answer
    x = 13,139.60

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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.