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Finding the Fourth Proportional to 19,322.30, 26,666.46 and 10,824.28

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Solution

The fourth proportional to 19,322.30, 26,666.46 and 10,824.28 is: 14,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.30 : 26,666.46 = 10,824.28 : x
  2. Step 2: Convert to fraction form
    19,322.30/26,666.46 = 10,824.28/x
  3. Step 3: Cross multiply
    19,322.30x = 26,666.46 × 10,824.28
  4. Step 4: Simplify right side
    19,322.30x = 288,645,202.59
  5. Step 5: Solve for x
    x = 288,645,202.59/19,322.30
  6. Step 6: Final answer
    x = 14,938.45

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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.