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Finding the Fourth Proportional to 16,384.79, 22,537.96 and 14,358.17

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Solution

The fourth proportional to 16,384.79, 22,537.96 and 14,358.17 is: 19,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.79 : 22,537.96 = 14,358.17 : x
  2. Step 2: Convert to fraction form
    16,384.79/22,537.96 = 14,358.17/x
  3. Step 3: Cross multiply
    16,384.79x = 22,537.96 × 14,358.17
  4. Step 4: Simplify right side
    16,384.79x = 323,603,712.55
  5. Step 5: Solve for x
    x = 323,603,712.55/16,384.79
  6. Step 6: Final answer
    x = 19,750.26

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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.