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Finding the Fourth Proportional to 12,375.30, 18,569.34 and 5,802.15

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Solution

The fourth proportional to 12,375.30, 18,569.34 and 5,802.15 is: 8,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.30 : 18,569.34 = 5,802.15 : x
  2. Step 2: Convert to fraction form
    12,375.30/18,569.34 = 5,802.15/x
  3. Step 3: Cross multiply
    12,375.30x = 18,569.34 × 5,802.15
  4. Step 4: Simplify right side
    12,375.30x = 107,742,096.08
  5. Step 5: Solve for x
    x = 107,742,096.08/12,375.30
  6. Step 6: Final answer
    x = 8,706.22

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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.