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Finding the Fourth Proportional to 16,403.95, 24,616.79 and 9,013.56

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Solution

The fourth proportional to 16,403.95, 24,616.79 and 9,013.56 is: 13,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.95 : 24,616.79 = 9,013.56 : x
  2. Step 2: Convert to fraction form
    16,403.95/24,616.79 = 9,013.56/x
  3. Step 3: Cross multiply
    16,403.95x = 24,616.79 × 9,013.56
  4. Step 4: Simplify right side
    16,403.95x = 221,884,913.67
  5. Step 5: Solve for x
    x = 221,884,913.67/16,403.95
  6. Step 6: Final answer
    x = 13,526.31

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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.