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Finding the Fourth Proportional to 13,053.81, 18,014.15 and 7,085.48

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Solution

The fourth proportional to 13,053.81, 18,014.15 and 7,085.48 is: 9,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.81 : 18,014.15 = 7,085.48 : x
  2. Step 2: Convert to fraction form
    13,053.81/18,014.15 = 7,085.48/x
  3. Step 3: Cross multiply
    13,053.81x = 18,014.15 × 7,085.48
  4. Step 4: Simplify right side
    13,053.81x = 127,638,899.54
  5. Step 5: Solve for x
    x = 127,638,899.54/13,053.81
  6. Step 6: Final answer
    x = 9,777.90

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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.