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Finding the Fourth Proportional to 16,838.50, 23,237.85 and 9,386.50

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Solution

The fourth proportional to 16,838.50, 23,237.85 and 9,386.50 is: 12,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.50 : 23,237.85 = 9,386.50 : x
  2. Step 2: Convert to fraction form
    16,838.50/23,237.85 = 9,386.50/x
  3. Step 3: Cross multiply
    16,838.50x = 23,237.85 × 9,386.50
  4. Step 4: Simplify right side
    16,838.50x = 218,122,079.03
  5. Step 5: Solve for x
    x = 218,122,079.03/16,838.50
  6. Step 6: Final answer
    x = 12,953.77

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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.