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Finding the Fourth Proportional to 19,810.65, 29,695.31 and 10,461.22

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Solution

The fourth proportional to 19,810.65, 29,695.31 and 10,461.22 is: 15,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.65 : 29,695.31 = 10,461.22 : x
  2. Step 2: Convert to fraction form
    19,810.65/29,695.31 = 10,461.22/x
  3. Step 3: Cross multiply
    19,810.65x = 29,695.31 × 10,461.22
  4. Step 4: Simplify right side
    19,810.65x = 310,649,170.88
  5. Step 5: Solve for x
    x = 310,649,170.88/19,810.65
  6. Step 6: Final answer
    x = 15,680.92

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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.