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Finding the Fourth Proportional to 17,138.70, 23,656.59 and 10,430.28

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Solution

The fourth proportional to 17,138.70, 23,656.59 and 10,430.28 is: 14,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.70 : 23,656.59 = 10,430.28 : x
  2. Step 2: Convert to fraction form
    17,138.70/23,656.59 = 10,430.28/x
  3. Step 3: Cross multiply
    17,138.70x = 23,656.59 × 10,430.28
  4. Step 4: Simplify right side
    17,138.70x = 246,744,857.55
  5. Step 5: Solve for x
    x = 246,744,857.55/17,138.70
  6. Step 6: Final answer
    x = 14,396.94

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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.