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Finding the Fourth Proportional to 25,784.65, 38,688 and 10,795.27

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Solution

The fourth proportional to 25,784.65, 38,688 and 10,795.27 is: 16,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.65 : 38,688 = 10,795.27 : x
  2. Step 2: Convert to fraction form
    25,784.65/38,688 = 10,795.27/x
  3. Step 3: Cross multiply
    25,784.65x = 38,688 × 10,795.27
  4. Step 4: Simplify right side
    25,784.65x = 417,647,405.76
  5. Step 5: Solve for x
    x = 417,647,405.76/25,784.65
  6. Step 6: Final answer
    x = 16,197.52

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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.