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Finding the Fourth Proportional to 22,657.41, 31,266.34 and 12,586.49

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Solution

The fourth proportional to 22,657.41, 31,266.34 and 12,586.49 is: 17,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.41 : 31,266.34 = 12,586.49 : x
  2. Step 2: Convert to fraction form
    22,657.41/31,266.34 = 12,586.49/x
  3. Step 3: Cross multiply
    22,657.41x = 31,266.34 × 12,586.49
  4. Step 4: Simplify right side
    22,657.41x = 393,533,475.75
  5. Step 5: Solve for x
    x = 393,533,475.75/22,657.41
  6. Step 6: Final answer
    x = 17,368.86

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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.