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Finding the Fourth Proportional to 16,038.99, 24,061.50 and 6,177.42

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Solution

The fourth proportional to 16,038.99, 24,061.50 and 6,177.42 is: 9,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.99 : 24,061.50 = 6,177.42 : x
  2. Step 2: Convert to fraction form
    16,038.99/24,061.50 = 6,177.42/x
  3. Step 3: Cross multiply
    16,038.99x = 24,061.50 × 6,177.42
  4. Step 4: Simplify right side
    16,038.99x = 148,637,991.33
  5. Step 5: Solve for x
    x = 148,637,991.33/16,038.99
  6. Step 6: Final answer
    x = 9,267.29

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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.