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Finding the Fourth Proportional to 21,225.50, 31,838.25 and 6,633.50

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Solution

The fourth proportional to 21,225.50, 31,838.25 and 6,633.50 is: 9,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.50 : 31,838.25 = 6,633.50 : x
  2. Step 2: Convert to fraction form
    21,225.50/31,838.25 = 6,633.50/x
  3. Step 3: Cross multiply
    21,225.50x = 31,838.25 × 6,633.50
  4. Step 4: Simplify right side
    21,225.50x = 211,199,031.38
  5. Step 5: Solve for x
    x = 211,199,031.38/21,225.50
  6. Step 6: Final answer
    x = 9,950.25

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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.