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Finding the Fourth Proportional to 24,633.24, 34,005.06 and 15,693

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Solution

The fourth proportional to 24,633.24, 34,005.06 and 15,693 is: 21,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.24 : 34,005.06 = 15,693 : x
  2. Step 2: Convert to fraction form
    24,633.24/34,005.06 = 15,693/x
  3. Step 3: Cross multiply
    24,633.24x = 34,005.06 × 15,693
  4. Step 4: Simplify right side
    24,633.24x = 533,641,406.58
  5. Step 5: Solve for x
    x = 533,641,406.58/24,633.24
  6. Step 6: Final answer
    x = 21,663.47

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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.