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Finding the Fourth Proportional to 22,774.26, 31,428.53 and 12,702.45

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Solution

The fourth proportional to 22,774.26, 31,428.53 and 12,702.45 is: 17,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.26 : 31,428.53 = 12,702.45 : x
  2. Step 2: Convert to fraction form
    22,774.26/31,428.53 = 12,702.45/x
  3. Step 3: Cross multiply
    22,774.26x = 31,428.53 × 12,702.45
  4. Step 4: Simplify right side
    22,774.26x = 399,219,330.90
  5. Step 5: Solve for x
    x = 399,219,330.90/22,774.26
  6. Step 6: Final answer
    x = 17,529.41

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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.