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Finding the Fourth Proportional to 22,701.86, 31,310.81 and 14,746.64

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Solution

The fourth proportional to 22,701.86, 31,310.81 and 14,746.64 is: 20,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.86 : 31,310.81 = 14,746.64 : x
  2. Step 2: Convert to fraction form
    22,701.86/31,310.81 = 14,746.64/x
  3. Step 3: Cross multiply
    22,701.86x = 31,310.81 × 14,746.64
  4. Step 4: Simplify right side
    22,701.86x = 461,729,303.02
  5. Step 5: Solve for x
    x = 461,729,303.02/22,701.86
  6. Step 6: Final answer
    x = 20,338.84

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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.