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Finding the Fourth Proportional to 17,457.16, 24,086.78 and 9,901.75

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Solution

The fourth proportional to 17,457.16, 24,086.78 and 9,901.75 is: 13,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.16 : 24,086.78 = 9,901.75 : x
  2. Step 2: Convert to fraction form
    17,457.16/24,086.78 = 9,901.75/x
  3. Step 3: Cross multiply
    17,457.16x = 24,086.78 × 9,901.75
  4. Step 4: Simplify right side
    17,457.16x = 238,501,164.14
  5. Step 5: Solve for x
    x = 238,501,164.14/17,457.16
  6. Step 6: Final answer
    x = 13,662.08

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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.