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Finding the Fourth Proportional to 24,309.88, 33,547.17 and 13,699.30

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Solution

The fourth proportional to 24,309.88, 33,547.17 and 13,699.30 is: 18,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.88 : 33,547.17 = 13,699.30 : x
  2. Step 2: Convert to fraction form
    24,309.88/33,547.17 = 13,699.30/x
  3. Step 3: Cross multiply
    24,309.88x = 33,547.17 × 13,699.30
  4. Step 4: Simplify right side
    24,309.88x = 459,572,745.98
  5. Step 5: Solve for x
    x = 459,572,745.98/24,309.88
  6. Step 6: Final answer
    x = 18,904.77

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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.