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Finding the Fourth Proportional to 21,854.84, 32,774.21 and 7,811.06

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Solution

The fourth proportional to 21,854.84, 32,774.21 and 7,811.06 is: 11,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.84 : 32,774.21 = 7,811.06 : x
  2. Step 2: Convert to fraction form
    21,854.84/32,774.21 = 7,811.06/x
  3. Step 3: Cross multiply
    21,854.84x = 32,774.21 × 7,811.06
  4. Step 4: Simplify right side
    21,854.84x = 256,001,363.64
  5. Step 5: Solve for x
    x = 256,001,363.64/21,854.84
  6. Step 6: Final answer
    x = 11,713.72

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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.