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Finding the Fourth Proportional to 22,471.01, 31,009.91 and 12,400.08

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Solution

The fourth proportional to 22,471.01, 31,009.91 and 12,400.08 is: 17,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.01 : 31,009.91 = 12,400.08 : x
  2. Step 2: Convert to fraction form
    22,471.01/31,009.91 = 12,400.08/x
  3. Step 3: Cross multiply
    22,471.01x = 31,009.91 × 12,400.08
  4. Step 4: Simplify right side
    22,471.01x = 384,525,302.79
  5. Step 5: Solve for x
    x = 384,525,302.79/22,471.01
  6. Step 6: Final answer
    x = 17,112.07

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1.5x scale

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.