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Finding the Fourth Proportional to 22,341.68, 30,822.09 and 13,386.32

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Solution

The fourth proportional to 22,341.68, 30,822.09 and 13,386.32 is: 18,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,341.68 : 30,822.09 = 13,386.32 : x
  2. Step 2: Convert to fraction form
    22,341.68/30,822.09 = 13,386.32/x
  3. Step 3: Cross multiply
    22,341.68x = 30,822.09 × 13,386.32
  4. Step 4: Simplify right side
    22,341.68x = 412,594,359.81
  5. Step 5: Solve for x
    x = 412,594,359.81/22,341.68
  6. Step 6: Final answer
    x = 18,467.47

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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.