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Finding the Fourth Proportional to 21,763.84, 32,645.60 and 10,077.12

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Solution

The fourth proportional to 21,763.84, 32,645.60 and 10,077.12 is: 15,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.84 : 32,645.60 = 10,077.12 : x
  2. Step 2: Convert to fraction form
    21,763.84/32,645.60 = 10,077.12/x
  3. Step 3: Cross multiply
    21,763.84x = 32,645.60 × 10,077.12
  4. Step 4: Simplify right side
    21,763.84x = 328,973,628.67
  5. Step 5: Solve for x
    x = 328,973,628.67/21,763.84
  6. Step 6: Final answer
    x = 15,115.61

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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.