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Finding the Fourth Proportional to 25,688.66, 38,533.79 and 6,968.63

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Solution

The fourth proportional to 25,688.66, 38,533.79 and 6,968.63 is: 10,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.66 : 38,533.79 = 6,968.63 : x
  2. Step 2: Convert to fraction form
    25,688.66/38,533.79 = 6,968.63/x
  3. Step 3: Cross multiply
    25,688.66x = 38,533.79 × 6,968.63
  4. Step 4: Simplify right side
    25,688.66x = 268,527,497.50
  5. Step 5: Solve for x
    x = 268,527,497.50/25,688.66
  6. Step 6: Final answer
    x = 10,453.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.