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Finding the Fourth Proportional to 21,833.64, 30,130.62 and 12,402.26

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Solution

The fourth proportional to 21,833.64, 30,130.62 and 12,402.26 is: 17,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.64 : 30,130.62 = 12,402.26 : x
  2. Step 2: Convert to fraction form
    21,833.64/30,130.62 = 12,402.26/x
  3. Step 3: Cross multiply
    21,833.64x = 30,130.62 × 12,402.26
  4. Step 4: Simplify right side
    21,833.64x = 373,687,783.20
  5. Step 5: Solve for x
    x = 373,687,783.20/21,833.64
  6. Step 6: Final answer
    x = 17,115.23

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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.