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Finding the Fourth Proportional to 21,821, 32,731.50 and 7,031.42

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Solution

The fourth proportional to 21,821, 32,731.50 and 7,031.42 is: 10,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821 : 32,731.50 = 7,031.42 : x
  2. Step 2: Convert to fraction form
    21,821/32,731.50 = 7,031.42/x
  3. Step 3: Cross multiply
    21,821x = 32,731.50 × 7,031.42
  4. Step 4: Simplify right side
    21,821x = 230,148,923.73
  5. Step 5: Solve for x
    x = 230,148,923.73/21,821
  6. Step 6: Final answer
    x = 10,547.13

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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.