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Finding the Fourth Proportional to 13,497.14, 18,625.47 and 9,959.06

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Solution

The fourth proportional to 13,497.14, 18,625.47 and 9,959.06 is: 13,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.14 : 18,625.47 = 9,959.06 : x
  2. Step 2: Convert to fraction form
    13,497.14/18,625.47 = 9,959.06/x
  3. Step 3: Cross multiply
    13,497.14x = 18,625.47 × 9,959.06
  4. Step 4: Simplify right side
    13,497.14x = 185,492,173.26
  5. Step 5: Solve for x
    x = 185,492,173.26/13,497.14
  6. Step 6: Final answer
    x = 13,743.07

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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.