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Finding the Fourth Proportional to 20,690.71, 31,051.66 and 15,158.23

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Solution

The fourth proportional to 20,690.71, 31,051.66 and 15,158.23 is: 22,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.71 : 31,051.66 = 15,158.23 : x
  2. Step 2: Convert to fraction form
    20,690.71/31,051.66 = 15,158.23/x
  3. Step 3: Cross multiply
    20,690.71x = 31,051.66 × 15,158.23
  4. Step 4: Simplify right side
    20,690.71x = 470,688,204.16
  5. Step 5: Solve for x
    x = 470,688,204.16/20,690.71
  6. Step 6: Final answer
    x = 22,748.77

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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.