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Finding the Fourth Proportional to 21,760.16, 30,018.34 and 14,203

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Solution

The fourth proportional to 21,760.16, 30,018.34 and 14,203 is: 19,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.16 : 30,018.34 = 14,203 : x
  2. Step 2: Convert to fraction form
    21,760.16/30,018.34 = 14,203/x
  3. Step 3: Cross multiply
    21,760.16x = 30,018.34 × 14,203
  4. Step 4: Simplify right side
    21,760.16x = 426,350,483.02
  5. Step 5: Solve for x
    x = 426,350,483.02/21,760.16
  6. Step 6: Final answer
    x = 19,593.17

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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.