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Finding the Fourth Proportional to 17,580.78, 24,264.63 and 10,507.86

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Solution

The fourth proportional to 17,580.78, 24,264.63 and 10,507.86 is: 14,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.78 : 24,264.63 = 10,507.86 : x
  2. Step 2: Convert to fraction form
    17,580.78/24,264.63 = 10,507.86/x
  3. Step 3: Cross multiply
    17,580.78x = 24,264.63 × 10,507.86
  4. Step 4: Simplify right side
    17,580.78x = 254,969,334.99
  5. Step 5: Solve for x
    x = 254,969,334.99/17,580.78
  6. Step 6: Final answer
    x = 14,502.73

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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.