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Finding the Fourth Proportional to 19,322.16, 26,665.24 and 10,824.64

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Solution

The fourth proportional to 19,322.16, 26,665.24 and 10,824.64 is: 14,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.16 : 26,665.24 = 10,824.64 : x
  2. Step 2: Convert to fraction form
    19,322.16/26,665.24 = 10,824.64/x
  3. Step 3: Cross multiply
    19,322.16x = 26,665.24 × 10,824.64
  4. Step 4: Simplify right side
    19,322.16x = 288,641,623.51
  5. Step 5: Solve for x
    x = 288,641,623.51/19,322.16
  6. Step 6: Final answer
    x = 14,938.37

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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.