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Finding the Fourth Proportional to 24,880.16, 37,323.84 and 7,347.68

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Solution

The fourth proportional to 24,880.16, 37,323.84 and 7,347.68 is: 11,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880.16 : 37,323.84 = 7,347.68 : x
  2. Step 2: Convert to fraction form
    24,880.16/37,323.84 = 7,347.68/x
  3. Step 3: Cross multiply
    24,880.16x = 37,323.84 × 7,347.68
  4. Step 4: Simplify right side
    24,880.16x = 274,243,632.69
  5. Step 5: Solve for x
    x = 274,243,632.69/24,880.16
  6. Step 6: Final answer
    x = 11,022.58

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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.