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Finding the Fourth Proportional to 13,130.14, 18,122.53 and 8,349.15

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Solution

The fourth proportional to 13,130.14, 18,122.53 and 8,349.15 is: 11,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.14 : 18,122.53 = 8,349.15 : x
  2. Step 2: Convert to fraction form
    13,130.14/18,122.53 = 8,349.15/x
  3. Step 3: Cross multiply
    13,130.14x = 18,122.53 × 8,349.15
  4. Step 4: Simplify right side
    13,130.14x = 151,307,721.35
  5. Step 5: Solve for x
    x = 151,307,721.35/13,130.14
  6. Step 6: Final answer
    x = 11,523.69

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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.