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Finding the Fourth Proportional to 24,314.80, 36,457.60 and 9,506.06

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Solution

The fourth proportional to 24,314.80, 36,457.60 and 9,506.06 is: 14,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.80 : 36,457.60 = 9,506.06 : x
  2. Step 2: Convert to fraction form
    24,314.80/36,457.60 = 9,506.06/x
  3. Step 3: Cross multiply
    24,314.80x = 36,457.60 × 9,506.06
  4. Step 4: Simplify right side
    24,314.80x = 346,568,133.06
  5. Step 5: Solve for x
    x = 346,568,133.06/24,314.80
  6. Step 6: Final answer
    x = 14,253.38

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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.