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Finding the Fourth Proportional to 22,140, 30,556.68 and 14,181.84

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Solution

The fourth proportional to 22,140, 30,556.68 and 14,181.84 is: 19,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140 : 30,556.68 = 14,181.84 : x
  2. Step 2: Convert to fraction form
    22,140/30,556.68 = 14,181.84/x
  3. Step 3: Cross multiply
    22,140x = 30,556.68 × 14,181.84
  4. Step 4: Simplify right side
    22,140x = 433,349,946.69
  5. Step 5: Solve for x
    x = 433,349,946.69/22,140
  6. Step 6: Final answer
    x = 19,573.17

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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.