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Finding the Fourth Proportional to 24,798.40, 37,185.87 and 9,608.08

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Solution

The fourth proportional to 24,798.40, 37,185.87 and 9,608.08 is: 14,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.40 : 37,185.87 = 9,608.08 : x
  2. Step 2: Convert to fraction form
    24,798.40/37,185.87 = 9,608.08/x
  3. Step 3: Cross multiply
    24,798.40x = 37,185.87 × 9,608.08
  4. Step 4: Simplify right side
    24,798.40x = 357,284,813.83
  5. Step 5: Solve for x
    x = 357,284,813.83/24,798.40
  6. Step 6: Final answer
    x = 14,407.58

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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.