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Finding the Fourth Proportional to 16,788, 23,167.52 and 9,336

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Solution

The fourth proportional to 16,788, 23,167.52 and 9,336 is: 12,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,788 : 23,167.52 = 9,336 : x
  2. Step 2: Convert to fraction form
    16,788/23,167.52 = 9,336/x
  3. Step 3: Cross multiply
    16,788x = 23,167.52 × 9,336
  4. Step 4: Simplify right side
    16,788x = 216,291,966.72
  5. Step 5: Solve for x
    x = 216,291,966.72/16,788
  6. Step 6: Final answer
    x = 12,883.72

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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.