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Finding the Fourth Proportional to 16,929, 25,393.52 and 4,617

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Solution

The fourth proportional to 16,929, 25,393.52 and 4,617 is: 6,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929 : 25,393.52 = 4,617 : x
  2. Step 2: Convert to fraction form
    16,929/25,393.52 = 4,617/x
  3. Step 3: Cross multiply
    16,929x = 25,393.52 × 4,617
  4. Step 4: Simplify right side
    16,929x = 117,241,881.84
  5. Step 5: Solve for x
    x = 117,241,881.84/16,929
  6. Step 6: Final answer
    x = 6,925.51

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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.