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Finding the Fourth Proportional to 21,782.52, 30,047.08 and 13,703.32

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Solution

The fourth proportional to 21,782.52, 30,047.08 and 13,703.32 is: 18,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.52 : 30,047.08 = 13,703.32 : x
  2. Step 2: Convert to fraction form
    21,782.52/30,047.08 = 13,703.32/x
  3. Step 3: Cross multiply
    21,782.52x = 30,047.08 × 13,703.32
  4. Step 4: Simplify right side
    21,782.52x = 411,744,752.31
  5. Step 5: Solve for x
    x = 411,744,752.31/21,782.52
  6. Step 6: Final answer
    x = 18,902.53

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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.