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Finding the Fourth Proportional to 22,774.26, 31,428.75 and 12,703.58

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Solution

The fourth proportional to 22,774.26, 31,428.75 and 12,703.58 is: 17,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.26 : 31,428.75 = 12,703.58 : x
  2. Step 2: Convert to fraction form
    22,774.26/31,428.75 = 12,703.58/x
  3. Step 3: Cross multiply
    22,774.26x = 31,428.75 × 12,703.58
  4. Step 4: Simplify right side
    22,774.26x = 399,257,482.78
  5. Step 5: Solve for x
    x = 399,257,482.78/22,774.26
  6. Step 6: Final answer
    x = 17,531.08

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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.