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Finding the Fourth Proportional to 22,995.76, 31,731.76 and 14,045.44

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Solution

The fourth proportional to 22,995.76, 31,731.76 and 14,045.44 is: 19,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995.76 : 31,731.76 = 14,045.44 : x
  2. Step 2: Convert to fraction form
    22,995.76/31,731.76 = 14,045.44/x
  3. Step 3: Cross multiply
    22,995.76x = 31,731.76 × 14,045.44
  4. Step 4: Simplify right side
    22,995.76x = 445,686,531.17
  5. Step 5: Solve for x
    x = 445,686,531.17/22,995.76
  6. Step 6: Final answer
    x = 19,381.25

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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.