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Finding the Fourth Proportional to 16,929.42, 23,364.05 and 9,856.50

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Solution

The fourth proportional to 16,929.42, 23,364.05 and 9,856.50 is: 13,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929.42 : 23,364.05 = 9,856.50 : x
  2. Step 2: Convert to fraction form
    16,929.42/23,364.05 = 9,856.50/x
  3. Step 3: Cross multiply
    16,929.42x = 23,364.05 × 9,856.50
  4. Step 4: Simplify right side
    16,929.42x = 230,287,758.83
  5. Step 5: Solve for x
    x = 230,287,758.83/16,929.42
  6. Step 6: Final answer
    x = 13,602.81

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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.