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Finding the Fourth Proportional to 21,784.74, 30,053.94 and 14,228.46

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Solution

The fourth proportional to 21,784.74, 30,053.94 and 14,228.46 is: 19,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.74 : 30,053.94 = 14,228.46 : x
  2. Step 2: Convert to fraction form
    21,784.74/30,053.94 = 14,228.46/x
  3. Step 3: Cross multiply
    21,784.74x = 30,053.94 × 14,228.46
  4. Step 4: Simplify right side
    21,784.74x = 427,621,283.13
  5. Step 5: Solve for x
    x = 427,621,283.13/21,784.74
  6. Step 6: Final answer
    x = 19,629.40

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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.