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Finding the Fourth Proportional to 15,689.96, 23,534.94 and 4,596.65

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Solution

The fourth proportional to 15,689.96, 23,534.94 and 4,596.65 is: 6,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.96 : 23,534.94 = 4,596.65 : x
  2. Step 2: Convert to fraction form
    15,689.96/23,534.94 = 4,596.65/x
  3. Step 3: Cross multiply
    15,689.96x = 23,534.94 × 4,596.65
  4. Step 4: Simplify right side
    15,689.96x = 108,181,795.48
  5. Step 5: Solve for x
    x = 108,181,795.48/15,689.96
  6. Step 6: Final answer
    x = 6,894.97

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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.