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Finding the Fourth Proportional to 15,653.54, 23,465.68 and 5,790.17

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Solution

The fourth proportional to 15,653.54, 23,465.68 and 5,790.17 is: 8,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.54 : 23,465.68 = 5,790.17 : x
  2. Step 2: Convert to fraction form
    15,653.54/23,465.68 = 5,790.17/x
  3. Step 3: Cross multiply
    15,653.54x = 23,465.68 × 5,790.17
  4. Step 4: Simplify right side
    15,653.54x = 135,870,276.37
  5. Step 5: Solve for x
    x = 135,870,276.37/15,653.54
  6. Step 6: Final answer
    x = 8,679.84

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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.