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Finding the Fourth Proportional to 22,582.99, 31,165.73 and 12,512.67

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Solution

The fourth proportional to 22,582.99, 31,165.73 and 12,512.67 is: 17,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.99 : 31,165.73 = 12,512.67 : x
  2. Step 2: Convert to fraction form
    22,582.99/31,165.73 = 12,512.67/x
  3. Step 3: Cross multiply
    22,582.99x = 31,165.73 × 12,512.67
  4. Step 4: Simplify right side
    22,582.99x = 389,966,494.80
  5. Step 5: Solve for x
    x = 389,966,494.80/22,582.99
  6. Step 6: Final answer
    x = 17,268.15

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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.