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Finding the Fourth Proportional to 22,762, 31,415.88 and 12,826

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Solution

The fourth proportional to 22,762, 31,415.88 and 12,826 is: 17,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762 : 31,415.88 = 12,826 : x
  2. Step 2: Convert to fraction form
    22,762/31,415.88 = 12,826/x
  3. Step 3: Cross multiply
    22,762x = 31,415.88 × 12,826
  4. Step 4: Simplify right side
    22,762x = 402,940,076.88
  5. Step 5: Solve for x
    x = 402,940,076.88/22,762
  6. Step 6: Final answer
    x = 17,702.31

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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.