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Finding the Fourth Proportional to 28,204.16, 42,266.88 and 24,022.40

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Solution

The fourth proportional to 28,204.16, 42,266.88 and 24,022.40 is: 36,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.16 : 42,266.88 = 24,022.40 : x
  2. Step 2: Convert to fraction form
    28,204.16/42,266.88 = 24,022.40/x
  3. Step 3: Cross multiply
    28,204.16x = 42,266.88 × 24,022.40
  4. Step 4: Simplify right side
    28,204.16x = 1,015,351,898.11
  5. Step 5: Solve for x
    x = 1,015,351,898.11/28,204.16
  6. Step 6: Final answer
    x = 36,000.08

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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.