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Finding the Fourth Proportional to 21,315.66, 31,973.45 and 5,733.30

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Solution

The fourth proportional to 21,315.66, 31,973.45 and 5,733.30 is: 8,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,315.66 : 31,973.45 = 5,733.30 : x
  2. Step 2: Convert to fraction form
    21,315.66/31,973.45 = 5,733.30/x
  3. Step 3: Cross multiply
    21,315.66x = 31,973.45 × 5,733.30
  4. Step 4: Simplify right side
    21,315.66x = 183,313,352.22
  5. Step 5: Solve for x
    x = 183,313,352.22/21,315.66
  6. Step 6: Final answer
    x = 8,599.94

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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.