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Finding the Fourth Proportional to 15,796.47, 23,709.06 and 8,407.17

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Solution

The fourth proportional to 15,796.47, 23,709.06 and 8,407.17 is: 12,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796.47 : 23,709.06 = 8,407.17 : x
  2. Step 2: Convert to fraction form
    15,796.47/23,709.06 = 8,407.17/x
  3. Step 3: Cross multiply
    15,796.47x = 23,709.06 × 8,407.17
  4. Step 4: Simplify right side
    15,796.47x = 199,326,097.96
  5. Step 5: Solve for x
    x = 199,326,097.96/15,796.47
  6. Step 6: Final answer
    x = 12,618.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.