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Finding the Fourth Proportional to 24,199.40, 36,281.94 and 9,395.84

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Solution

The fourth proportional to 24,199.40, 36,281.94 and 9,395.84 is: 14,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.40 : 36,281.94 = 9,395.84 : x
  2. Step 2: Convert to fraction form
    24,199.40/36,281.94 = 9,395.84/x
  3. Step 3: Cross multiply
    24,199.40x = 36,281.94 × 9,395.84
  4. Step 4: Simplify right side
    24,199.40x = 340,899,303.13
  5. Step 5: Solve for x
    x = 340,899,303.13/24,199.40
  6. Step 6: Final answer
    x = 14,087.10

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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.