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Finding the Fourth Proportional to 13,253.25, 19,875.63 and 5,857.55

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Solution

The fourth proportional to 13,253.25, 19,875.63 and 5,857.55 is: 8,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.25 : 19,875.63 = 5,857.55 : x
  2. Step 2: Convert to fraction form
    13,253.25/19,875.63 = 5,857.55/x
  3. Step 3: Cross multiply
    13,253.25x = 19,875.63 × 5,857.55
  4. Step 4: Simplify right side
    13,253.25x = 116,422,460.68
  5. Step 5: Solve for x
    x = 116,422,460.68/13,253.25
  6. Step 6: Final answer
    x = 8,784.44

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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.