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Finding the Fourth Proportional to 17,660.16, 26,483.29 and 6,412.84

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Solution

The fourth proportional to 17,660.16, 26,483.29 and 6,412.84 is: 9,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.16 : 26,483.29 = 6,412.84 : x
  2. Step 2: Convert to fraction form
    17,660.16/26,483.29 = 6,412.84/x
  3. Step 3: Cross multiply
    17,660.16x = 26,483.29 × 6,412.84
  4. Step 4: Simplify right side
    17,660.16x = 169,833,019.20
  5. Step 5: Solve for x
    x = 169,833,019.20/17,660.16
  6. Step 6: Final answer
    x = 9,616.73

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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.