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Finding the Fourth Proportional to 27,657.18, 41,493.06 and 14,506.02

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Solution

The fourth proportional to 27,657.18, 41,493.06 and 14,506.02 is: 21,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.18 : 41,493.06 = 14,506.02 : x
  2. Step 2: Convert to fraction form
    27,657.18/41,493.06 = 14,506.02/x
  3. Step 3: Cross multiply
    27,657.18x = 41,493.06 × 14,506.02
  4. Step 4: Simplify right side
    27,657.18x = 601,899,158.22
  5. Step 5: Solve for x
    x = 601,899,158.22/27,657.18
  6. Step 6: Final answer
    x = 21,762.85

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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.