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Finding the Fourth Proportional to 27,465.74, 37,902.82 and 14,890.50

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Solution

The fourth proportional to 27,465.74, 37,902.82 and 14,890.50 is: 20,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.74 : 37,902.82 = 14,890.50 : x
  2. Step 2: Convert to fraction form
    27,465.74/37,902.82 = 14,890.50/x
  3. Step 3: Cross multiply
    27,465.74x = 37,902.82 × 14,890.50
  4. Step 4: Simplify right side
    27,465.74x = 564,391,941.21
  5. Step 5: Solve for x
    x = 564,391,941.21/27,465.74
  6. Step 6: Final answer
    x = 20,548.94

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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.