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Finding the Fourth Proportional to 19,673.40, 29,510.10 and 10,309.80

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Solution

The fourth proportional to 19,673.40, 29,510.10 and 10,309.80 is: 15,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.40 : 29,510.10 = 10,309.80 : x
  2. Step 2: Convert to fraction form
    19,673.40/29,510.10 = 10,309.80/x
  3. Step 3: Cross multiply
    19,673.40x = 29,510.10 × 10,309.80
  4. Step 4: Simplify right side
    19,673.40x = 304,243,228.98
  5. Step 5: Solve for x
    x = 304,243,228.98/19,673.40
  6. Step 6: Final answer
    x = 15,464.70

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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.