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Finding the Fourth Proportional to 24,504.36, 36,742.08 and 10,457.22

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Solution

The fourth proportional to 24,504.36, 36,742.08 and 10,457.22 is: 15,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.36 : 36,742.08 = 10,457.22 : x
  2. Step 2: Convert to fraction form
    24,504.36/36,742.08 = 10,457.22/x
  3. Step 3: Cross multiply
    24,504.36x = 36,742.08 × 10,457.22
  4. Step 4: Simplify right side
    24,504.36x = 384,220,013.82
  5. Step 5: Solve for x
    x = 384,220,013.82/24,504.36
  6. Step 6: Final answer
    x = 15,679.66

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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.