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Finding the Fourth Proportional to 22,659.84, 31,266.99 and 13,096.17

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Solution

The fourth proportional to 22,659.84, 31,266.99 and 13,096.17 is: 18,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.84 : 31,266.99 = 13,096.17 : x
  2. Step 2: Convert to fraction form
    22,659.84/31,266.99 = 13,096.17/x
  3. Step 3: Cross multiply
    22,659.84x = 31,266.99 × 13,096.17
  4. Step 4: Simplify right side
    22,659.84x = 409,477,816.43
  5. Step 5: Solve for x
    x = 409,477,816.43/22,659.84
  6. Step 6: Final answer
    x = 18,070.64

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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.