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Finding the Fourth Proportional to 16,407.36, 22,672.81 and 13,422.11

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Solution

The fourth proportional to 16,407.36, 22,672.81 and 13,422.11 is: 18,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.36 : 22,672.81 = 13,422.11 : x
  2. Step 2: Convert to fraction form
    16,407.36/22,672.81 = 13,422.11/x
  3. Step 3: Cross multiply
    16,407.36x = 22,672.81 × 13,422.11
  4. Step 4: Simplify right side
    16,407.36x = 304,316,853.24
  5. Step 5: Solve for x
    x = 304,316,853.24/16,407.36
  6. Step 6: Final answer
    x = 18,547.58

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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.