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Finding the Fourth Proportional to 22,967.63, 31,692.88 and 12,897.17

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Solution

The fourth proportional to 22,967.63, 31,692.88 and 12,897.17 is: 17,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.63 : 31,692.88 = 12,897.17 : x
  2. Step 2: Convert to fraction form
    22,967.63/31,692.88 = 12,897.17/x
  3. Step 3: Cross multiply
    22,967.63x = 31,692.88 × 12,897.17
  4. Step 4: Simplify right side
    22,967.63x = 408,748,461.15
  5. Step 5: Solve for x
    x = 408,748,461.15/22,967.63
  6. Step 6: Final answer
    x = 17,796.72

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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.