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Finding the Fourth Proportional to 24,083.60, 36,125.40 and 7,667.60

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Solution

The fourth proportional to 24,083.60, 36,125.40 and 7,667.60 is: 11,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.60 : 36,125.40 = 7,667.60 : x
  2. Step 2: Convert to fraction form
    24,083.60/36,125.40 = 7,667.60/x
  3. Step 3: Cross multiply
    24,083.60x = 36,125.40 × 7,667.60
  4. Step 4: Simplify right side
    24,083.60x = 276,995,117.04
  5. Step 5: Solve for x
    x = 276,995,117.04/24,083.60
  6. Step 6: Final answer
    x = 11,501.40

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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.