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Finding the Fourth Proportional to 17,164.40, 23,685.36 and 9,712.40

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Solution

The fourth proportional to 17,164.40, 23,685.36 and 9,712.40 is: 13,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.40 : 23,685.36 = 9,712.40 : x
  2. Step 2: Convert to fraction form
    17,164.40/23,685.36 = 9,712.40/x
  3. Step 3: Cross multiply
    17,164.40x = 23,685.36 × 9,712.40
  4. Step 4: Simplify right side
    17,164.40x = 230,041,690.46
  5. Step 5: Solve for x
    x = 230,041,690.46/17,164.40
  6. Step 6: Final answer
    x = 13,402.26

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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.