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Finding the Fourth Proportional to 21,103.79, 31,656.74 and 6,312.83

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Solution

The fourth proportional to 21,103.79, 31,656.74 and 6,312.83 is: 9,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.79 : 31,656.74 = 6,312.83 : x
  2. Step 2: Convert to fraction form
    21,103.79/31,656.74 = 6,312.83/x
  3. Step 3: Cross multiply
    21,103.79x = 31,656.74 × 6,312.83
  4. Step 4: Simplify right side
    21,103.79x = 199,843,428.13
  5. Step 5: Solve for x
    x = 199,843,428.13/21,103.79
  6. Step 6: Final answer
    x = 9,469.55

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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.