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Finding the Fourth Proportional to 22,756.54, 31,403.95 and 12,684.87

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Solution

The fourth proportional to 22,756.54, 31,403.95 and 12,684.87 is: 17,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.54 : 31,403.95 = 12,684.87 : x
  2. Step 2: Convert to fraction form
    22,756.54/31,403.95 = 12,684.87/x
  3. Step 3: Cross multiply
    22,756.54x = 31,403.95 × 12,684.87
  4. Step 4: Simplify right side
    22,756.54x = 398,355,023.24
  5. Step 5: Solve for x
    x = 398,355,023.24/22,756.54
  6. Step 6: Final answer
    x = 17,505.08

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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.