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Finding the Fourth Proportional to 22,802.84, 31,459.26 and 13,846.96

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Solution

The fourth proportional to 22,802.84, 31,459.26 and 13,846.96 is: 19,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.84 : 31,459.26 = 13,846.96 : x
  2. Step 2: Convert to fraction form
    22,802.84/31,459.26 = 13,846.96/x
  3. Step 3: Cross multiply
    22,802.84x = 31,459.26 × 13,846.96
  4. Step 4: Simplify right side
    22,802.84x = 435,615,114.85
  5. Step 5: Solve for x
    x = 435,615,114.85/22,802.84
  6. Step 6: Final answer
    x = 19,103.55

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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.