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Finding the Fourth Proportional to 22,897.96, 31,597.06 and 12,961.96

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Solution

The fourth proportional to 22,897.96, 31,597.06 and 12,961.96 is: 17,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.96 : 31,597.06 = 12,961.96 : x
  2. Step 2: Convert to fraction form
    22,897.96/31,597.06 = 12,961.96/x
  3. Step 3: Cross multiply
    22,897.96x = 31,597.06 × 12,961.96
  4. Step 4: Simplify right side
    22,897.96x = 409,559,827.84
  5. Step 5: Solve for x
    x = 409,559,827.84/22,897.96
  6. Step 6: Final answer
    x = 17,886.30

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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.