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Finding the Fourth Proportional to 21,138.84, 31,705.86 and 5,557.68

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Solution

The fourth proportional to 21,138.84, 31,705.86 and 5,557.68 is: 8,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.84 : 31,705.86 = 5,557.68 : x
  2. Step 2: Convert to fraction form
    21,138.84/31,705.86 = 5,557.68/x
  3. Step 3: Cross multiply
    21,138.84x = 31,705.86 × 5,557.68
  4. Step 4: Simplify right side
    21,138.84x = 176,211,024.00
  5. Step 5: Solve for x
    x = 176,211,024.00/21,138.84
  6. Step 6: Final answer
    x = 8,335.89

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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.