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Finding the Fourth Proportional to 22,971.46, 31,696.80 and 13,538.74

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Solution

The fourth proportional to 22,971.46, 31,696.80 and 13,538.74 is: 18,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.46 : 31,696.80 = 13,538.74 : x
  2. Step 2: Convert to fraction form
    22,971.46/31,696.80 = 13,538.74/x
  3. Step 3: Cross multiply
    22,971.46x = 31,696.80 × 13,538.74
  4. Step 4: Simplify right side
    22,971.46x = 429,134,734.03
  5. Step 5: Solve for x
    x = 429,134,734.03/22,971.46
  6. Step 6: Final answer
    x = 18,681.21

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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.