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Finding the Fourth Proportional to 15,762.77, 23,628.17 and 10,219.62

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Solution

The fourth proportional to 15,762.77, 23,628.17 and 10,219.62 is: 15,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.77 : 23,628.17 = 10,219.62 : x
  2. Step 2: Convert to fraction form
    15,762.77/23,628.17 = 10,219.62/x
  3. Step 3: Cross multiply
    15,762.77x = 23,628.17 × 10,219.62
  4. Step 4: Simplify right side
    15,762.77x = 241,470,867.60
  5. Step 5: Solve for x
    x = 241,470,867.60/15,762.77
  6. Step 6: Final answer
    x = 15,319.07

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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.