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Finding the Fourth Proportional to 24,215.16, 33,411.03 and 14,137.83

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Solution

The fourth proportional to 24,215.16, 33,411.03 and 14,137.83 is: 19,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.16 : 33,411.03 = 14,137.83 : x
  2. Step 2: Convert to fraction form
    24,215.16/33,411.03 = 14,137.83/x
  3. Step 3: Cross multiply
    24,215.16x = 33,411.03 × 14,137.83
  4. Step 4: Simplify right side
    24,215.16x = 472,359,462.26
  5. Step 5: Solve for x
    x = 472,359,462.26/24,215.16
  6. Step 6: Final answer
    x = 19,506.77

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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.