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Finding the Fourth Proportional to 13,253.32, 19,878.96 and 5,858.02

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Solution

The fourth proportional to 13,253.32, 19,878.96 and 5,858.02 is: 8,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.32 : 19,878.96 = 5,858.02 : x
  2. Step 2: Convert to fraction form
    13,253.32/19,878.96 = 5,858.02/x
  3. Step 3: Cross multiply
    13,253.32x = 19,878.96 × 5,858.02
  4. Step 4: Simplify right side
    13,253.32x = 116,451,345.26
  5. Step 5: Solve for x
    x = 116,451,345.26/13,253.32
  6. Step 6: Final answer
    x = 8,786.58

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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.