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Finding the Fourth Proportional to 34,886.34, 52,331.73 and 11,512.98

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Solution

The fourth proportional to 34,886.34, 52,331.73 and 11,512.98 is: 17,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,886.34 : 52,331.73 = 11,512.98 : x
  2. Step 2: Convert to fraction form
    34,886.34/52,331.73 = 11,512.98/x
  3. Step 3: Cross multiply
    34,886.34x = 52,331.73 × 11,512.98
  4. Step 4: Simplify right side
    34,886.34x = 602,494,160.86
  5. Step 5: Solve for x
    x = 602,494,160.86/34,886.34
  6. Step 6: Final answer
    x = 17,270.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.