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Finding the Fourth Proportional to 17,580.96, 24,263.34 and 10,507.22

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Solution

The fourth proportional to 17,580.96, 24,263.34 and 10,507.22 is: 14,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.96 : 24,263.34 = 10,507.22 : x
  2. Step 2: Convert to fraction form
    17,580.96/24,263.34 = 10,507.22/x
  3. Step 3: Cross multiply
    17,580.96x = 24,263.34 × 10,507.22
  4. Step 4: Simplify right side
    17,580.96x = 254,940,251.31
  5. Step 5: Solve for x
    x = 254,940,251.31/17,580.96
  6. Step 6: Final answer
    x = 14,500.93

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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.