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Finding the Fourth Proportional to 13,636.36, 20,465.76 and 7,064.56

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Solution

The fourth proportional to 13,636.36, 20,465.76 and 7,064.56 is: 10,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.36 : 20,465.76 = 7,064.56 : x
  2. Step 2: Convert to fraction form
    13,636.36/20,465.76 = 7,064.56/x
  3. Step 3: Cross multiply
    13,636.36x = 20,465.76 × 7,064.56
  4. Step 4: Simplify right side
    13,636.36x = 144,581,589.47
  5. Step 5: Solve for x
    x = 144,581,589.47/13,636.36
  6. Step 6: Final answer
    x = 10,602.65

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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.