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Finding the Fourth Proportional to 22,653.01, 31,256.10 and 13,700.32

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Solution

The fourth proportional to 22,653.01, 31,256.10 and 13,700.32 is: 18,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.01 : 31,256.10 = 13,700.32 : x
  2. Step 2: Convert to fraction form
    22,653.01/31,256.10 = 13,700.32/x
  3. Step 3: Cross multiply
    22,653.01x = 31,256.10 × 13,700.32
  4. Step 4: Simplify right side
    22,653.01x = 428,218,571.95
  5. Step 5: Solve for x
    x = 428,218,571.95/22,653.01
  6. Step 6: Final answer
    x = 18,903.39

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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.