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Finding the Fourth Proportional to 24,665.72, 36,989.58 and 7,130.84

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Solution

The fourth proportional to 24,665.72, 36,989.58 and 7,130.84 is: 10,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.72 : 36,989.58 = 7,130.84 : x
  2. Step 2: Convert to fraction form
    24,665.72/36,989.58 = 7,130.84/x
  3. Step 3: Cross multiply
    24,665.72x = 36,989.58 × 7,130.84
  4. Step 4: Simplify right side
    24,665.72x = 263,766,776.65
  5. Step 5: Solve for x
    x = 263,766,776.65/24,665.72
  6. Step 6: Final answer
    x = 10,693.66

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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.