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Finding the Fourth Proportional to 24,639.24, 34,013.34 and 15,699

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Solution

The fourth proportional to 24,639.24, 34,013.34 and 15,699 is: 21,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,639.24 : 34,013.34 = 15,699 : x
  2. Step 2: Convert to fraction form
    24,639.24/34,013.34 = 15,699/x
  3. Step 3: Cross multiply
    24,639.24x = 34,013.34 × 15,699
  4. Step 4: Simplify right side
    24,639.24x = 533,975,424.66
  5. Step 5: Solve for x
    x = 533,975,424.66/24,639.24
  6. Step 6: Final answer
    x = 21,671.75

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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.