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Finding the Fourth Proportional to 15,172.34, 22,762.83 and 6,405.62

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Solution

The fourth proportional to 15,172.34, 22,762.83 and 6,405.62 is: 9,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.34 : 22,762.83 = 6,405.62 : x
  2. Step 2: Convert to fraction form
    15,172.34/22,762.83 = 6,405.62/x
  3. Step 3: Cross multiply
    15,172.34x = 22,762.83 × 6,405.62
  4. Step 4: Simplify right side
    15,172.34x = 145,810,039.10
  5. Step 5: Solve for x
    x = 145,810,039.10/15,172.34
  6. Step 6: Final answer
    x = 9,610.25

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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.