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Finding the Fourth Proportional to 15,734.32, 21,713.43 and 9,020.34

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Solution

The fourth proportional to 15,734.32, 21,713.43 and 9,020.34 is: 12,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.32 : 21,713.43 = 9,020.34 : x
  2. Step 2: Convert to fraction form
    15,734.32/21,713.43 = 9,020.34/x
  3. Step 3: Cross multiply
    15,734.32x = 21,713.43 × 9,020.34
  4. Step 4: Simplify right side
    15,734.32x = 195,862,412.60
  5. Step 5: Solve for x
    x = 195,862,412.60/15,734.32
  6. Step 6: Final answer
    x = 12,448.10

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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.