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Finding the Fourth Proportional to 13,858.49, 20,788.35 and 5,088.62

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Solution

The fourth proportional to 13,858.49, 20,788.35 and 5,088.62 is: 7,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.49 : 20,788.35 = 5,088.62 : x
  2. Step 2: Convert to fraction form
    13,858.49/20,788.35 = 5,088.62/x
  3. Step 3: Cross multiply
    13,858.49x = 20,788.35 × 5,088.62
  4. Step 4: Simplify right side
    13,858.49x = 105,784,013.58
  5. Step 5: Solve for x
    x = 105,784,013.58/13,858.49
  6. Step 6: Final answer
    x = 7,633.16

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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.