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Finding the Fourth Proportional to 21,291.96, 29,381.84 and 12,342.27

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Solution

The fourth proportional to 21,291.96, 29,381.84 and 12,342.27 is: 17,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.96 : 29,381.84 = 12,342.27 : x
  2. Step 2: Convert to fraction form
    21,291.96/29,381.84 = 12,342.27/x
  3. Step 3: Cross multiply
    21,291.96x = 29,381.84 × 12,342.27
  4. Step 4: Simplify right side
    21,291.96x = 362,638,697.13
  5. Step 5: Solve for x
    x = 362,638,697.13/21,291.96
  6. Step 6: Final answer
    x = 17,031.72

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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.