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Finding the Fourth Proportional to 19,785.51, 29,680.29 and 6,638.13

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Solution

The fourth proportional to 19,785.51, 29,680.29 and 6,638.13 is: 9,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.51 : 29,680.29 = 6,638.13 : x
  2. Step 2: Convert to fraction form
    19,785.51/29,680.29 = 6,638.13/x
  3. Step 3: Cross multiply
    19,785.51x = 29,680.29 × 6,638.13
  4. Step 4: Simplify right side
    19,785.51x = 197,021,623.46
  5. Step 5: Solve for x
    x = 197,021,623.46/19,785.51
  6. Step 6: Final answer
    x = 9,957.87

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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.