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Finding the Fourth Proportional to 16,472.34, 24,733.17 and 14,258.03

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Solution

The fourth proportional to 16,472.34, 24,733.17 and 14,258.03 is: 21,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.34 : 24,733.17 = 14,258.03 : x
  2. Step 2: Convert to fraction form
    16,472.34/24,733.17 = 14,258.03/x
  3. Step 3: Cross multiply
    16,472.34x = 24,733.17 × 14,258.03
  4. Step 4: Simplify right side
    16,472.34x = 352,646,156.19
  5. Step 5: Solve for x
    x = 352,646,156.19/16,472.34
  6. Step 6: Final answer
    x = 21,408.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.