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Finding the Fourth Proportional to 21,833.34, 30,130.11 and 12,402.42

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Solution

The fourth proportional to 21,833.34, 30,130.11 and 12,402.42 is: 17,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.34 : 30,130.11 = 12,402.42 : x
  2. Step 2: Convert to fraction form
    21,833.34/30,130.11 = 12,402.42/x
  3. Step 3: Cross multiply
    21,833.34x = 30,130.11 × 12,402.42
  4. Step 4: Simplify right side
    21,833.34x = 373,686,278.87
  5. Step 5: Solve for x
    x = 373,686,278.87/21,833.34
  6. Step 6: Final answer
    x = 17,115.40

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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.