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Finding the Fourth Proportional to 19,681.28, 29,521.70 and 11,786

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Solution

The fourth proportional to 19,681.28, 29,521.70 and 11,786 is: 17,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.28 : 29,521.70 = 11,786 : x
  2. Step 2: Convert to fraction form
    19,681.28/29,521.70 = 11,786/x
  3. Step 3: Cross multiply
    19,681.28x = 29,521.70 × 11,786
  4. Step 4: Simplify right side
    19,681.28x = 347,942,756.20
  5. Step 5: Solve for x
    x = 347,942,756.20/19,681.28
  6. Step 6: Final answer
    x = 17,678.87

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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.