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Finding the Fourth Proportional to 22,774.76, 31,429.22 and 12,702.95

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Solution

The fourth proportional to 22,774.76, 31,429.22 and 12,702.95 is: 17,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.76 : 31,429.22 = 12,702.95 : x
  2. Step 2: Convert to fraction form
    22,774.76/31,429.22 = 12,702.95/x
  3. Step 3: Cross multiply
    22,774.76x = 31,429.22 × 12,702.95
  4. Step 4: Simplify right side
    22,774.76x = 399,243,810.20
  5. Step 5: Solve for x
    x = 399,243,810.20/22,774.76
  6. Step 6: Final answer
    x = 17,530.10

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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.