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Finding the Fourth Proportional to 16,924, 23,355.12 and 9,472

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Solution

The fourth proportional to 16,924, 23,355.12 and 9,472 is: 13,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924 : 23,355.12 = 9,472 : x
  2. Step 2: Convert to fraction form
    16,924/23,355.12 = 9,472/x
  3. Step 3: Cross multiply
    16,924x = 23,355.12 × 9,472
  4. Step 4: Simplify right side
    16,924x = 221,219,696.64
  5. Step 5: Solve for x
    x = 221,219,696.64/16,924
  6. Step 6: Final answer
    x = 13,071.36

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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.