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Finding the Fourth Proportional to 19,827.19, 29,725.02 and 9,824.90

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Solution

The fourth proportional to 19,827.19, 29,725.02 and 9,824.90 is: 14,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.19 : 29,725.02 = 9,824.90 : x
  2. Step 2: Convert to fraction form
    19,827.19/29,725.02 = 9,824.90/x
  3. Step 3: Cross multiply
    19,827.19x = 29,725.02 × 9,824.90
  4. Step 4: Simplify right side
    19,827.19x = 292,045,423.31
  5. Step 5: Solve for x
    x = 292,045,423.31/19,827.19
  6. Step 6: Final answer
    x = 14,729.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.