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Finding the Fourth Proportional to 22,934.88, 31,649.04 and 12,862.08

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Solution

The fourth proportional to 22,934.88, 31,649.04 and 12,862.08 is: 17,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.88 : 31,649.04 = 12,862.08 : x
  2. Step 2: Convert to fraction form
    22,934.88/31,649.04 = 12,862.08/x
  3. Step 3: Cross multiply
    22,934.88x = 31,649.04 × 12,862.08
  4. Step 4: Simplify right side
    22,934.88x = 407,072,484.40
  5. Step 5: Solve for x
    x = 407,072,484.40/22,934.88
  6. Step 6: Final answer
    x = 17,749.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.