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Finding the Fourth Proportional to 16,032.99, 24,043.32 and 6,677.42

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Solution

The fourth proportional to 16,032.99, 24,043.32 and 6,677.42 is: 10,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.99 : 24,043.32 = 6,677.42 : x
  2. Step 2: Convert to fraction form
    16,032.99/24,043.32 = 6,677.42/x
  3. Step 3: Cross multiply
    16,032.99x = 24,043.32 × 6,677.42
  4. Step 4: Simplify right side
    16,032.99x = 160,547,345.83
  5. Step 5: Solve for x
    x = 160,547,345.83/16,032.99
  6. Step 6: Final answer
    x = 10,013.56

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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.