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Finding the Fourth Proportional to 25,076.91, 37,588.86 and 9,271.80

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Solution

The fourth proportional to 25,076.91, 37,588.86 and 9,271.80 is: 13,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.91 : 37,588.86 = 9,271.80 : x
  2. Step 2: Convert to fraction form
    25,076.91/37,588.86 = 9,271.80/x
  3. Step 3: Cross multiply
    25,076.91x = 37,588.86 × 9,271.80
  4. Step 4: Simplify right side
    25,076.91x = 348,516,392.15
  5. Step 5: Solve for x
    x = 348,516,392.15/25,076.91
  6. Step 6: Final answer
    x = 13,897.90

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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.