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Finding the Fourth Proportional to 23,368.32, 35,046.81 and 7,783.92

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Solution

The fourth proportional to 23,368.32, 35,046.81 and 7,783.92 is: 11,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,368.32 : 35,046.81 = 7,783.92 : x
  2. Step 2: Convert to fraction form
    23,368.32/35,046.81 = 7,783.92/x
  3. Step 3: Cross multiply
    23,368.32x = 35,046.81 × 7,783.92
  4. Step 4: Simplify right side
    23,368.32x = 272,801,565.30
  5. Step 5: Solve for x
    x = 272,801,565.30/23,368.32
  6. Step 6: Final answer
    x = 11,673.99

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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.