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Finding the Fourth Proportional to 23,435.32, 35,154.54 and 7,853.08

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Solution

The fourth proportional to 23,435.32, 35,154.54 and 7,853.08 is: 11,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.32 : 35,154.54 = 7,853.08 : x
  2. Step 2: Convert to fraction form
    23,435.32/35,154.54 = 7,853.08/x
  3. Step 3: Cross multiply
    23,435.32x = 35,154.54 × 7,853.08
  4. Step 4: Simplify right side
    23,435.32x = 276,071,414.98
  5. Step 5: Solve for x
    x = 276,071,414.98/23,435.32
  6. Step 6: Final answer
    x = 11,780.14

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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.