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Finding the Fourth Proportional to 16,398.10, 24,582.03 and 6,535

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Solution

The fourth proportional to 16,398.10, 24,582.03 and 6,535 is: 9,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.10 : 24,582.03 = 6,535 : x
  2. Step 2: Convert to fraction form
    16,398.10/24,582.03 = 6,535/x
  3. Step 3: Cross multiply
    16,398.10x = 24,582.03 × 6,535
  4. Step 4: Simplify right side
    16,398.10x = 160,643,566.05
  5. Step 5: Solve for x
    x = 160,643,566.05/16,398.10
  6. Step 6: Final answer
    x = 9,796.47

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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.