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Finding the Fourth Proportional to 19,371.74, 29,053.29 and 7,681.82

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Solution

The fourth proportional to 19,371.74, 29,053.29 and 7,681.82 is: 11,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371.74 : 29,053.29 = 7,681.82 : x
  2. Step 2: Convert to fraction form
    19,371.74/29,053.29 = 7,681.82/x
  3. Step 3: Cross multiply
    19,371.74x = 29,053.29 × 7,681.82
  4. Step 4: Simplify right side
    19,371.74x = 223,182,144.19
  5. Step 5: Solve for x
    x = 223,182,144.19/19,371.74
  6. Step 6: Final answer
    x = 11,521.02

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Why These Related Problems?

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