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Finding the Fourth Proportional to 13,130.81, 18,119.90 and 7,465.42

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Solution

The fourth proportional to 13,130.81, 18,119.90 and 7,465.42 is: 10,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.81 : 18,119.90 = 7,465.42 : x
  2. Step 2: Convert to fraction form
    13,130.81/18,119.90 = 7,465.42/x
  3. Step 3: Cross multiply
    13,130.81x = 18,119.90 × 7,465.42
  4. Step 4: Simplify right side
    13,130.81x = 135,272,603.25
  5. Step 5: Solve for x
    x = 135,272,603.25/13,130.81
  6. Step 6: Final answer
    x = 10,301.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.