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Finding the Fourth Proportional to 13,053.80, 18,014.34 and 7,085.47

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Solution

The fourth proportional to 13,053.80, 18,014.34 and 7,085.47 is: 9,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.80 : 18,014.34 = 7,085.47 : x
  2. Step 2: Convert to fraction form
    13,053.80/18,014.34 = 7,085.47/x
  3. Step 3: Cross multiply
    13,053.80x = 18,014.34 × 7,085.47
  4. Step 4: Simplify right side
    13,053.80x = 127,639,985.18
  5. Step 5: Solve for x
    x = 127,639,985.18/13,053.80
  6. Step 6: Final answer
    x = 9,777.99

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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.