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Finding the Fourth Proportional to 17,856.88, 24,642.64 and 9,899.24

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Solution

The fourth proportional to 17,856.88, 24,642.64 and 9,899.24 is: 13,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.88 : 24,642.64 = 9,899.24 : x
  2. Step 2: Convert to fraction form
    17,856.88/24,642.64 = 9,899.24/x
  3. Step 3: Cross multiply
    17,856.88x = 24,642.64 × 9,899.24
  4. Step 4: Simplify right side
    17,856.88x = 243,943,407.59
  5. Step 5: Solve for x
    x = 243,943,407.59/17,856.88
  6. Step 6: Final answer
    x = 13,661.03

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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.