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Finding the Fourth Proportional to 26,497.69, 36,566.70 and 14,561.53

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Solution

The fourth proportional to 26,497.69, 36,566.70 and 14,561.53 is: 20,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.69 : 36,566.70 = 14,561.53 : x
  2. Step 2: Convert to fraction form
    26,497.69/36,566.70 = 14,561.53/x
  3. Step 3: Cross multiply
    26,497.69x = 36,566.70 × 14,561.53
  4. Step 4: Simplify right side
    26,497.69x = 532,467,099.05
  5. Step 5: Solve for x
    x = 532,467,099.05/26,497.69
  6. Step 6: Final answer
    x = 20,094.85

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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.