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Finding the Fourth Proportional to 22,048.31, 30,405.61 and 14,501

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Solution

The fourth proportional to 22,048.31, 30,405.61 and 14,501 is: 19,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.31 : 30,405.61 = 14,501 : x
  2. Step 2: Convert to fraction form
    22,048.31/30,405.61 = 14,501/x
  3. Step 3: Cross multiply
    22,048.31x = 30,405.61 × 14,501
  4. Step 4: Simplify right side
    22,048.31x = 440,911,750.61
  5. Step 5: Solve for x
    x = 440,911,750.61/22,048.31
  6. Step 6: Final answer
    x = 19,997.53

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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.