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Finding the Fourth Proportional to 24,535.41, 36,803.11 and 7,005.23

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Solution

The fourth proportional to 24,535.41, 36,803.11 and 7,005.23 is: 10,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.41 : 36,803.11 = 7,005.23 : x
  2. Step 2: Convert to fraction form
    24,535.41/36,803.11 = 7,005.23/x
  3. Step 3: Cross multiply
    24,535.41x = 36,803.11 × 7,005.23
  4. Step 4: Simplify right side
    24,535.41x = 257,814,406.90
  5. Step 5: Solve for x
    x = 257,814,406.90/24,535.41
  6. Step 6: Final answer
    x = 10,507.85

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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.