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Finding the Fourth Proportional to 12,820.17, 19,196.68 and 10,308

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Solution

The fourth proportional to 12,820.17, 19,196.68 and 10,308 is: 15,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.17 : 19,196.68 = 10,308 : x
  2. Step 2: Convert to fraction form
    12,820.17/19,196.68 = 10,308/x
  3. Step 3: Cross multiply
    12,820.17x = 19,196.68 × 10,308
  4. Step 4: Simplify right side
    12,820.17x = 197,879,377.44
  5. Step 5: Solve for x
    x = 197,879,377.44/12,820.17
  6. Step 6: Final answer
    x = 15,435.00

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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.