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Finding the Fourth Proportional to 21,161.59, 31,742.65 and 14,586.01

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Solution

The fourth proportional to 21,161.59, 31,742.65 and 14,586.01 is: 21,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.59 : 31,742.65 = 14,586.01 : x
  2. Step 2: Convert to fraction form
    21,161.59/31,742.65 = 14,586.01/x
  3. Step 3: Cross multiply
    21,161.59x = 31,742.65 × 14,586.01
  4. Step 4: Simplify right side
    21,161.59x = 462,998,549.20
  5. Step 5: Solve for x
    x = 462,998,549.20/21,161.59
  6. Step 6: Final answer
    x = 21,879.20

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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.