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Finding the Fourth Proportional to 13,196.54, 18,206.24 and 8,159.15

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Solution

The fourth proportional to 13,196.54, 18,206.24 and 8,159.15 is: 11,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.54 : 18,206.24 = 8,159.15 : x
  2. Step 2: Convert to fraction form
    13,196.54/18,206.24 = 8,159.15/x
  3. Step 3: Cross multiply
    13,196.54x = 18,206.24 × 8,159.15
  4. Step 4: Simplify right side
    13,196.54x = 148,547,447.82
  5. Step 5: Solve for x
    x = 148,547,447.82/13,196.54
  6. Step 6: Final answer
    x = 11,256.54

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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.