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Finding the Fourth Proportional to 16,535.16, 24,800.58 and 7,299

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Solution

The fourth proportional to 16,535.16, 24,800.58 and 7,299 is: 10,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.16 : 24,800.58 = 7,299 : x
  2. Step 2: Convert to fraction form
    16,535.16/24,800.58 = 7,299/x
  3. Step 3: Cross multiply
    16,535.16x = 24,800.58 × 7,299
  4. Step 4: Simplify right side
    16,535.16x = 181,019,433.42
  5. Step 5: Solve for x
    x = 181,019,433.42/16,535.16
  6. Step 6: Final answer
    x = 10,947.55

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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.