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Finding the Fourth Proportional to 24,798.14, 37,196.43 and 6,078.23

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Solution

The fourth proportional to 24,798.14, 37,196.43 and 6,078.23 is: 9,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.14 : 37,196.43 = 6,078.23 : x
  2. Step 2: Convert to fraction form
    24,798.14/37,196.43 = 6,078.23/x
  3. Step 3: Cross multiply
    24,798.14x = 37,196.43 × 6,078.23
  4. Step 4: Simplify right side
    24,798.14x = 226,088,270.74
  5. Step 5: Solve for x
    x = 226,088,270.74/24,798.14
  6. Step 6: Final answer
    x = 9,117.15

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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.