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Finding the Fourth Proportional to 18,533.34, 27,802.98 and 13,255.38

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Solution

The fourth proportional to 18,533.34, 27,802.98 and 13,255.38 is: 19,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.34 : 27,802.98 = 13,255.38 : x
  2. Step 2: Convert to fraction form
    18,533.34/27,802.98 = 13,255.38/x
  3. Step 3: Cross multiply
    18,533.34x = 27,802.98 × 13,255.38
  4. Step 4: Simplify right side
    18,533.34x = 368,539,065.03
  5. Step 5: Solve for x
    x = 368,539,065.03/18,533.34
  6. Step 6: Final answer
    x = 19,885.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.