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Finding the Fourth Proportional to 23,112.80, 31,895.70 and 12,502.44

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Solution

The fourth proportional to 23,112.80, 31,895.70 and 12,502.44 is: 17,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.80 : 31,895.70 = 12,502.44 : x
  2. Step 2: Convert to fraction form
    23,112.80/31,895.70 = 12,502.44/x
  3. Step 3: Cross multiply
    23,112.80x = 31,895.70 × 12,502.44
  4. Step 4: Simplify right side
    23,112.80x = 398,774,075.51
  5. Step 5: Solve for x
    x = 398,774,075.51/23,112.80
  6. Step 6: Final answer
    x = 17,253.39

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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.