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Finding the Fourth Proportional to 13,457.66, 20,137.28 and 7,913.61

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Solution

The fourth proportional to 13,457.66, 20,137.28 and 7,913.61 is: 11,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.66 : 20,137.28 = 7,913.61 : x
  2. Step 2: Convert to fraction form
    13,457.66/20,137.28 = 7,913.61/x
  3. Step 3: Cross multiply
    13,457.66x = 20,137.28 × 7,913.61
  4. Step 4: Simplify right side
    13,457.66x = 159,358,540.81
  5. Step 5: Solve for x
    x = 159,358,540.81/13,457.66
  6. Step 6: Final answer
    x = 11,841.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.