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Finding the Fourth Proportional to 24,784.15, 37,177.26 and 7,253.98

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Solution

The fourth proportional to 24,784.15, 37,177.26 and 7,253.98 is: 10,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.15 : 37,177.26 = 7,253.98 : x
  2. Step 2: Convert to fraction form
    24,784.15/37,177.26 = 7,253.98/x
  3. Step 3: Cross multiply
    24,784.15x = 37,177.26 × 7,253.98
  4. Step 4: Simplify right side
    24,784.15x = 269,683,100.49
  5. Step 5: Solve for x
    x = 269,683,100.49/24,784.15
  6. Step 6: Final answer
    x = 10,881.27

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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.