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Finding the Fourth Proportional to 12,496.10, 18,734.87 and 7,564.58

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Solution

The fourth proportional to 12,496.10, 18,734.87 and 7,564.58 is: 11,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.10 : 18,734.87 = 7,564.58 : x
  2. Step 2: Convert to fraction form
    12,496.10/18,734.87 = 7,564.58/x
  3. Step 3: Cross multiply
    12,496.10x = 18,734.87 × 7,564.58
  4. Step 4: Simplify right side
    12,496.10x = 141,721,291.41
  5. Step 5: Solve for x
    x = 141,721,291.41/12,496.10
  6. Step 6: Final answer
    x = 11,341.25

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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.