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Finding the Fourth Proportional to 13,026.70, 19,507.64 and 9,112.78

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Solution

The fourth proportional to 13,026.70, 19,507.64 and 9,112.78 is: 13,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.70 : 19,507.64 = 9,112.78 : x
  2. Step 2: Convert to fraction form
    13,026.70/19,507.64 = 9,112.78/x
  3. Step 3: Cross multiply
    13,026.70x = 19,507.64 × 9,112.78
  4. Step 4: Simplify right side
    13,026.70x = 177,768,831.64
  5. Step 5: Solve for x
    x = 177,768,831.64/13,026.70
  6. Step 6: Final answer
    x = 13,646.50

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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.