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Finding the Fourth Proportional to 21,772.28, 30,017.93 and 14,102.00

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Solution

The fourth proportional to 21,772.28, 30,017.93 and 14,102.00 is: 19,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.28 : 30,017.93 = 14,102.00 : x
  2. Step 2: Convert to fraction form
    21,772.28/30,017.93 = 14,102.00/x
  3. Step 3: Cross multiply
    21,772.28x = 30,017.93 × 14,102.00
  4. Step 4: Simplify right side
    21,772.28x = 423,312,628.26
  5. Step 5: Solve for x
    x = 423,312,628.26/21,772.28
  6. Step 6: Final answer
    x = 19,442.74

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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.