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Finding the Fourth Proportional to 24,455.71, 36,688.82 and 7,588.37

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Solution

The fourth proportional to 24,455.71, 36,688.82 and 7,588.37 is: 11,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455.71 : 36,688.82 = 7,588.37 : x
  2. Step 2: Convert to fraction form
    24,455.71/36,688.82 = 7,588.37/x
  3. Step 3: Cross multiply
    24,455.71x = 36,688.82 × 7,588.37
  4. Step 4: Simplify right side
    24,455.71x = 278,408,291.15
  5. Step 5: Solve for x
    x = 278,408,291.15/24,455.71
  6. Step 6: Final answer
    x = 11,384.18

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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.