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Finding the Fourth Proportional to 23,784.60, 35,678.61 and 8,202

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Solution

The fourth proportional to 23,784.60, 35,678.61 and 8,202 is: 12,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.60 : 35,678.61 = 8,202 : x
  2. Step 2: Convert to fraction form
    23,784.60/35,678.61 = 8,202/x
  3. Step 3: Cross multiply
    23,784.60x = 35,678.61 × 8,202
  4. Step 4: Simplify right side
    23,784.60x = 292,635,959.22
  5. Step 5: Solve for x
    x = 292,635,959.22/23,784.60
  6. Step 6: Final answer
    x = 12,303.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.