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Finding the Fourth Proportional to 21,005.84, 31,508.64 and 6,214.83

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Solution

The fourth proportional to 21,005.84, 31,508.64 and 6,214.83 is: 9,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.84 : 31,508.64 = 6,214.83 : x
  2. Step 2: Convert to fraction form
    21,005.84/31,508.64 = 6,214.83/x
  3. Step 3: Cross multiply
    21,005.84x = 31,508.64 × 6,214.83
  4. Step 4: Simplify right side
    21,005.84x = 195,820,841.13
  5. Step 5: Solve for x
    x = 195,820,841.13/21,005.84
  6. Step 6: Final answer
    x = 9,322.21

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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.