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Finding the Fourth Proportional to 22,507.32, 31,061.04 and 14,014.48

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Solution

The fourth proportional to 22,507.32, 31,061.04 and 14,014.48 is: 19,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.32 : 31,061.04 = 14,014.48 : x
  2. Step 2: Convert to fraction form
    22,507.32/31,061.04 = 14,014.48/x
  3. Step 3: Cross multiply
    22,507.32x = 31,061.04 × 14,014.48
  4. Step 4: Simplify right side
    22,507.32x = 435,304,323.86
  5. Step 5: Solve for x
    x = 435,304,323.86/22,507.32
  6. Step 6: Final answer
    x = 19,340.57

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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.