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Finding the Fourth Proportional to 14,188.79, 19,582.87 and 10,825.25

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Solution

The fourth proportional to 14,188.79, 19,582.87 and 10,825.25 is: 14,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.79 : 19,582.87 = 10,825.25 : x
  2. Step 2: Convert to fraction form
    14,188.79/19,582.87 = 10,825.25/x
  3. Step 3: Cross multiply
    14,188.79x = 19,582.87 × 10,825.25
  4. Step 4: Simplify right side
    14,188.79x = 211,989,360.38
  5. Step 5: Solve for x
    x = 211,989,360.38/14,188.79
  6. Step 6: Final answer
    x = 14,940.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.