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Finding the Fourth Proportional to 22,538.34, 31,102.74 and 12,602.34

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Solution

The fourth proportional to 22,538.34, 31,102.74 and 12,602.34 is: 17,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.34 : 31,102.74 = 12,602.34 : x
  2. Step 2: Convert to fraction form
    22,538.34/31,102.74 = 12,602.34/x
  3. Step 3: Cross multiply
    22,538.34x = 31,102.74 × 12,602.34
  4. Step 4: Simplify right side
    22,538.34x = 391,967,304.41
  5. Step 5: Solve for x
    x = 391,967,304.41/22,538.34
  6. Step 6: Final answer
    x = 17,391.13

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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.