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Finding the Fourth Proportional to 12,507.96, 17,284.32 and 10,816.68

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Solution

The fourth proportional to 12,507.96, 17,284.32 and 10,816.68 is: 14,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.96 : 17,284.32 = 10,816.68 : x
  2. Step 2: Convert to fraction form
    12,507.96/17,284.32 = 10,816.68/x
  3. Step 3: Cross multiply
    12,507.96x = 17,284.32 × 10,816.68
  4. Step 4: Simplify right side
    12,507.96x = 186,958,958.46
  5. Step 5: Solve for x
    x = 186,958,958.46/12,507.96
  6. Step 6: Final answer
    x = 14,947.20

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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.