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Finding the Fourth Proportional to 21,322.85, 31,987.91 and 7,282.10

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Solution

The fourth proportional to 21,322.85, 31,987.91 and 7,282.10 is: 10,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.85 : 31,987.91 = 7,282.10 : x
  2. Step 2: Convert to fraction form
    21,322.85/31,987.91 = 7,282.10/x
  3. Step 3: Cross multiply
    21,322.85x = 31,987.91 × 7,282.10
  4. Step 4: Simplify right side
    21,322.85x = 232,939,257.59
  5. Step 5: Solve for x
    x = 232,939,257.59/21,322.85
  6. Step 6: Final answer
    x = 10,924.40

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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.