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Finding the Fourth Proportional to 25,812.64, 38,724 and 8,281.12

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Solution

The fourth proportional to 25,812.64, 38,724 and 8,281.12 is: 12,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.64 : 38,724 = 8,281.12 : x
  2. Step 2: Convert to fraction form
    25,812.64/38,724 = 8,281.12/x
  3. Step 3: Cross multiply
    25,812.64x = 38,724 × 8,281.12
  4. Step 4: Simplify right side
    25,812.64x = 320,678,090.88
  5. Step 5: Solve for x
    x = 320,678,090.88/25,812.64
  6. Step 6: Final answer
    x = 12,423.30

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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.