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Finding the Fourth Proportional to 13,036.12, 17,989.62 and 7,447

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Solution

The fourth proportional to 13,036.12, 17,989.62 and 7,447 is: 10,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.12 : 17,989.62 = 7,447 : x
  2. Step 2: Convert to fraction form
    13,036.12/17,989.62 = 7,447/x
  3. Step 3: Cross multiply
    13,036.12x = 17,989.62 × 7,447
  4. Step 4: Simplify right side
    13,036.12x = 133,968,700.14
  5. Step 5: Solve for x
    x = 133,968,700.14/13,036.12
  6. Step 6: Final answer
    x = 10,276.73

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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.