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Finding the Fourth Proportional to 12,129.30, 16,737.24 and 6,824

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Solution

The fourth proportional to 12,129.30, 16,737.24 and 6,824 is: 9,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.30 : 16,737.24 = 6,824 : x
  2. Step 2: Convert to fraction form
    12,129.30/16,737.24 = 6,824/x
  3. Step 3: Cross multiply
    12,129.30x = 16,737.24 × 6,824
  4. Step 4: Simplify right side
    12,129.30x = 114,214,925.76
  5. Step 5: Solve for x
    x = 114,214,925.76/12,129.30
  6. Step 6: Final answer
    x = 9,416.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.