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Finding the Fourth Proportional to 11,708.68, 17,547.68 and 10,224.16

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Solution

The fourth proportional to 11,708.68, 17,547.68 and 10,224.16 is: 15,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.68 : 17,547.68 = 10,224.16 : x
  2. Step 2: Convert to fraction form
    11,708.68/17,547.68 = 10,224.16/x
  3. Step 3: Cross multiply
    11,708.68x = 17,547.68 × 10,224.16
  4. Step 4: Simplify right side
    11,708.68x = 179,410,287.95
  5. Step 5: Solve for x
    x = 179,410,287.95/11,708.68
  6. Step 6: Final answer
    x = 15,322.84

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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.