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Finding the Fourth Proportional to 24,726.12, 37,094.94 and 7,197.80

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Solution

The fourth proportional to 24,726.12, 37,094.94 and 7,197.80 is: 10,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726.12 : 37,094.94 = 7,197.80 : x
  2. Step 2: Convert to fraction form
    24,726.12/37,094.94 = 7,197.80/x
  3. Step 3: Cross multiply
    24,726.12x = 37,094.94 × 7,197.80
  4. Step 4: Simplify right side
    24,726.12x = 267,001,959.13
  5. Step 5: Solve for x
    x = 267,001,959.13/24,726.12
  6. Step 6: Final answer
    x = 10,798.38

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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.