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Finding the Fourth Proportional to 22,505.13, 31,056.70 and 12,433.99

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Solution

The fourth proportional to 22,505.13, 31,056.70 and 12,433.99 is: 17,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.13 : 31,056.70 = 12,433.99 : x
  2. Step 2: Convert to fraction form
    22,505.13/31,056.70 = 12,433.99/x
  3. Step 3: Cross multiply
    22,505.13x = 31,056.70 × 12,433.99
  4. Step 4: Simplify right side
    22,505.13x = 386,158,697.23
  5. Step 5: Solve for x
    x = 386,158,697.23/22,505.13
  6. Step 6: Final answer
    x = 17,158.70

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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.