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Finding the Fourth Proportional to 17,011.68, 23,478.06 and 9,458.76

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Solution

The fourth proportional to 17,011.68, 23,478.06 and 9,458.76 is: 13,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,011.68 : 23,478.06 = 9,458.76 : x
  2. Step 2: Convert to fraction form
    17,011.68/23,478.06 = 9,458.76/x
  3. Step 3: Cross multiply
    17,011.68x = 23,478.06 × 9,458.76
  4. Step 4: Simplify right side
    17,011.68x = 222,073,334.81
  5. Step 5: Solve for x
    x = 222,073,334.81/17,011.68
  6. Step 6: Final answer
    x = 13,054.17

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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.