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Finding the Fourth Proportional to 26,586.81, 36,688.47 and 14,648.22

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Solution

The fourth proportional to 26,586.81, 36,688.47 and 14,648.22 is: 20,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586.81 : 36,688.47 = 14,648.22 : x
  2. Step 2: Convert to fraction form
    26,586.81/36,688.47 = 14,648.22/x
  3. Step 3: Cross multiply
    26,586.81x = 36,688.47 × 14,648.22
  4. Step 4: Simplify right side
    26,586.81x = 537,420,780.02
  5. Step 5: Solve for x
    x = 537,420,780.02/26,586.81
  6. Step 6: Final answer
    x = 20,213.81

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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.