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Finding the Fourth Proportional to 22,502.16, 31,054.84 and 12,945.15

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Solution

The fourth proportional to 22,502.16, 31,054.84 and 12,945.15 is: 17,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.16 : 31,054.84 = 12,945.15 : x
  2. Step 2: Convert to fraction form
    22,502.16/31,054.84 = 12,945.15/x
  3. Step 3: Cross multiply
    22,502.16x = 31,054.84 × 12,945.15
  4. Step 4: Simplify right side
    22,502.16x = 402,009,529.66
  5. Step 5: Solve for x
    x = 402,009,529.66/22,502.16
  6. Step 6: Final answer
    x = 17,865.38

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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.