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Finding the Fourth Proportional to 21,381.64, 29,506.08 and 11,690.74

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Solution

The fourth proportional to 21,381.64, 29,506.08 and 11,690.74 is: 16,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.64 : 29,506.08 = 11,690.74 : x
  2. Step 2: Convert to fraction form
    21,381.64/29,506.08 = 11,690.74/x
  3. Step 3: Cross multiply
    21,381.64x = 29,506.08 × 11,690.74
  4. Step 4: Simplify right side
    21,381.64x = 344,947,909.70
  5. Step 5: Solve for x
    x = 344,947,909.70/21,381.64
  6. Step 6: Final answer
    x = 16,132.90

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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.