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Finding the Fourth Proportional to 24,713.37, 37,078.16 and 9,918.32

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Solution

The fourth proportional to 24,713.37, 37,078.16 and 9,918.32 is: 14,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.37 : 37,078.16 = 9,918.32 : x
  2. Step 2: Convert to fraction form
    24,713.37/37,078.16 = 9,918.32/x
  3. Step 3: Cross multiply
    24,713.37x = 37,078.16 × 9,918.32
  4. Step 4: Simplify right side
    24,713.37x = 367,752,820.91
  5. Step 5: Solve for x
    x = 367,752,820.91/24,713.37
  6. Step 6: Final answer
    x = 14,880.72

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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.