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Finding the Fourth Proportional to 22,114.21, 30,547.46 and 17,669.14

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Solution

The fourth proportional to 22,114.21, 30,547.46 and 17,669.14 is: 24,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.21 : 30,547.46 = 17,669.14 : x
  2. Step 2: Convert to fraction form
    22,114.21/30,547.46 = 17,669.14/x
  3. Step 3: Cross multiply
    22,114.21x = 30,547.46 × 17,669.14
  4. Step 4: Simplify right side
    22,114.21x = 539,747,347.38
  5. Step 5: Solve for x
    x = 539,747,347.38/22,114.21
  6. Step 6: Final answer
    x = 24,407.26

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Why These Related Problems?

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