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Finding the Fourth Proportional to 26,497.85, 36,567.71 and 14,561.49

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Solution

The fourth proportional to 26,497.85, 36,567.71 and 14,561.49 is: 20,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.85 : 36,567.71 = 14,561.49 : x
  2. Step 2: Convert to fraction form
    26,497.85/36,567.71 = 14,561.49/x
  3. Step 3: Cross multiply
    26,497.85x = 36,567.71 × 14,561.49
  4. Step 4: Simplify right side
    26,497.85x = 532,480,343.49
  5. Step 5: Solve for x
    x = 532,480,343.49/26,497.85
  6. Step 6: Final answer
    x = 20,095.23

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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.