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Finding the Fourth Proportional to 22,999.64, 31,733.88 and 14,043.88

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Solution

The fourth proportional to 22,999.64, 31,733.88 and 14,043.88 is: 19,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.64 : 31,733.88 = 14,043.88 : x
  2. Step 2: Convert to fraction form
    22,999.64/31,733.88 = 14,043.88/x
  3. Step 3: Cross multiply
    22,999.64x = 31,733.88 × 14,043.88
  4. Step 4: Simplify right side
    22,999.64x = 445,666,802.65
  5. Step 5: Solve for x
    x = 445,666,802.65/22,999.64
  6. Step 6: Final answer
    x = 19,377.12

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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.