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Finding the Fourth Proportional to 16,221.93, 22,384.26 and 9,506.02

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Solution

The fourth proportional to 16,221.93, 22,384.26 and 9,506.02 is: 13,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.93 : 22,384.26 = 9,506.02 : x
  2. Step 2: Convert to fraction form
    16,221.93/22,384.26 = 9,506.02/x
  3. Step 3: Cross multiply
    16,221.93x = 22,384.26 × 9,506.02
  4. Step 4: Simplify right side
    16,221.93x = 212,785,167.28
  5. Step 5: Solve for x
    x = 212,785,167.28/16,221.93
  6. Step 6: Final answer
    x = 13,117.13

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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.