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Finding the Fourth Proportional to 24,196.40, 36,277.44 and 9,392.84

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Solution

The fourth proportional to 24,196.40, 36,277.44 and 9,392.84 is: 14,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.40 : 36,277.44 = 9,392.84 : x
  2. Step 2: Convert to fraction form
    24,196.40/36,277.44 = 9,392.84/x
  3. Step 3: Cross multiply
    24,196.40x = 36,277.44 × 9,392.84
  4. Step 4: Simplify right side
    24,196.40x = 340,748,189.53
  5. Step 5: Solve for x
    x = 340,748,189.53/24,196.40
  6. Step 6: Final answer
    x = 14,082.60

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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.