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Finding the Fourth Proportional to 12,495.60, 18,734.14 and 7,564.08

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Solution

The fourth proportional to 12,495.60, 18,734.14 and 7,564.08 is: 11,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.60 : 18,734.14 = 7,564.08 : x
  2. Step 2: Convert to fraction form
    12,495.60/18,734.14 = 7,564.08/x
  3. Step 3: Cross multiply
    12,495.60x = 18,734.14 × 7,564.08
  4. Step 4: Simplify right side
    12,495.60x = 141,706,458.93
  5. Step 5: Solve for x
    x = 141,706,458.93/12,495.60
  6. Step 6: Final answer
    x = 11,340.51

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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.