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Finding the Fourth Proportional to 13,253.47, 18,284.55 and 8,540.50

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Solution

The fourth proportional to 13,253.47, 18,284.55 and 8,540.50 is: 11,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.47 : 18,284.55 = 8,540.50 : x
  2. Step 2: Convert to fraction form
    13,253.47/18,284.55 = 8,540.50/x
  3. Step 3: Cross multiply
    13,253.47x = 18,284.55 × 8,540.50
  4. Step 4: Simplify right side
    13,253.47x = 156,159,199.28
  5. Step 5: Solve for x
    x = 156,159,199.28/13,253.47
  6. Step 6: Final answer
    x = 11,782.51

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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.