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Finding the Fourth Proportional to 17,665.23, 24,378.01 and 9,707.45

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Solution

The fourth proportional to 17,665.23, 24,378.01 and 9,707.45 is: 13,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.23 : 24,378.01 = 9,707.45 : x
  2. Step 2: Convert to fraction form
    17,665.23/24,378.01 = 9,707.45/x
  3. Step 3: Cross multiply
    17,665.23x = 24,378.01 × 9,707.45
  4. Step 4: Simplify right side
    17,665.23x = 236,648,313.17
  5. Step 5: Solve for x
    x = 236,648,313.17/17,665.23
  6. Step 6: Final answer
    x = 13,396.28

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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.