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Finding the Fourth Proportional to 13,802.22, 19,049.76 and 8,772.30

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Solution

The fourth proportional to 13,802.22, 19,049.76 and 8,772.30 is: 12,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.22 : 19,049.76 = 8,772.30 : x
  2. Step 2: Convert to fraction form
    13,802.22/19,049.76 = 8,772.30/x
  3. Step 3: Cross multiply
    13,802.22x = 19,049.76 × 8,772.30
  4. Step 4: Simplify right side
    13,802.22x = 167,110,209.65
  5. Step 5: Solve for x
    x = 167,110,209.65/13,802.22
  6. Step 6: Final answer
    x = 12,107.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.