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Finding the Fourth Proportional to 24,535.02, 36,795.24 and 8,949

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Solution

The fourth proportional to 24,535.02, 36,795.24 and 8,949 is: 13,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.02 : 36,795.24 = 8,949 : x
  2. Step 2: Convert to fraction form
    24,535.02/36,795.24 = 8,949/x
  3. Step 3: Cross multiply
    24,535.02x = 36,795.24 × 8,949
  4. Step 4: Simplify right side
    24,535.02x = 329,280,602.76
  5. Step 5: Solve for x
    x = 329,280,602.76/24,535.02
  6. Step 6: Final answer
    x = 13,420.84

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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.