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Finding the Fourth Proportional to 23,653.59, 35,475.81 and 7,856.16

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Solution

The fourth proportional to 23,653.59, 35,475.81 and 7,856.16 is: 11,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.59 : 35,475.81 = 7,856.16 : x
  2. Step 2: Convert to fraction form
    23,653.59/35,475.81 = 7,856.16/x
  3. Step 3: Cross multiply
    23,653.59x = 35,475.81 × 7,856.16
  4. Step 4: Simplify right side
    23,653.59x = 278,703,639.49
  5. Step 5: Solve for x
    x = 278,703,639.49/23,653.59
  6. Step 6: Final answer
    x = 11,782.72

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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.