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Finding the Fourth Proportional to 16,838.47, 23,235.50 and 9,764.13

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Solution

The fourth proportional to 16,838.47, 23,235.50 and 9,764.13 is: 13,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.47 : 23,235.50 = 9,764.13 : x
  2. Step 2: Convert to fraction form
    16,838.47/23,235.50 = 9,764.13/x
  3. Step 3: Cross multiply
    16,838.47x = 23,235.50 × 9,764.13
  4. Step 4: Simplify right side
    16,838.47x = 226,874,442.62
  5. Step 5: Solve for x
    x = 226,874,442.62/16,838.47
  6. Step 6: Final answer
    x = 13,473.58

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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.