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Finding the Fourth Proportional to 13,130.31, 18,119.10 and 7,541.31

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Solution

The fourth proportional to 13,130.31, 18,119.10 and 7,541.31 is: 10,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.31 : 18,119.10 = 7,541.31 : x
  2. Step 2: Convert to fraction form
    13,130.31/18,119.10 = 7,541.31/x
  3. Step 3: Cross multiply
    13,130.31x = 18,119.10 × 7,541.31
  4. Step 4: Simplify right side
    13,130.31x = 136,641,750.02
  5. Step 5: Solve for x
    x = 136,641,750.02/13,130.31
  6. Step 6: Final answer
    x = 10,406.59

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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.