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Finding the Fourth Proportional to 21,047.16, 31,570.44 and 6,054.63

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Solution

The fourth proportional to 21,047.16, 31,570.44 and 6,054.63 is: 9,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.16 : 31,570.44 = 6,054.63 : x
  2. Step 2: Convert to fraction form
    21,047.16/31,570.44 = 6,054.63/x
  3. Step 3: Cross multiply
    21,047.16x = 31,570.44 × 6,054.63
  4. Step 4: Simplify right side
    21,047.16x = 191,147,333.14
  5. Step 5: Solve for x
    x = 191,147,333.14/21,047.16
  6. Step 6: Final answer
    x = 9,081.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.