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Finding the Fourth Proportional to 19,777.19, 27,292.53 and 10,824.70

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Solution

The fourth proportional to 19,777.19, 27,292.53 and 10,824.70 is: 14,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.19 : 27,292.53 = 10,824.70 : x
  2. Step 2: Convert to fraction form
    19,777.19/27,292.53 = 10,824.70/x
  3. Step 3: Cross multiply
    19,777.19x = 27,292.53 × 10,824.70
  4. Step 4: Simplify right side
    19,777.19x = 295,433,313.03
  5. Step 5: Solve for x
    x = 295,433,313.03/19,777.19
  6. Step 6: Final answer
    x = 14,938.08

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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.