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Finding the Fourth Proportional to 13,009.14, 19,496.23 and 6,756.14

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Solution

The fourth proportional to 13,009.14, 19,496.23 and 6,756.14 is: 10,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.14 : 19,496.23 = 6,756.14 : x
  2. Step 2: Convert to fraction form
    13,009.14/19,496.23 = 6,756.14/x
  3. Step 3: Cross multiply
    13,009.14x = 19,496.23 × 6,756.14
  4. Step 4: Simplify right side
    13,009.14x = 131,719,291.20
  5. Step 5: Solve for x
    x = 131,719,291.20/13,009.14
  6. Step 6: Final answer
    x = 10,125.13

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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.