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Finding the Fourth Proportional to 16,218.81, 22,381.47 and 9,048.92

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Solution

The fourth proportional to 16,218.81, 22,381.47 and 9,048.92 is: 12,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.81 : 22,381.47 = 9,048.92 : x
  2. Step 2: Convert to fraction form
    16,218.81/22,381.47 = 9,048.92/x
  3. Step 3: Cross multiply
    16,218.81x = 22,381.47 × 9,048.92
  4. Step 4: Simplify right side
    16,218.81x = 202,528,019.61
  5. Step 5: Solve for x
    x = 202,528,019.61/16,218.81
  6. Step 6: Final answer
    x = 12,487.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.