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Finding the Fourth Proportional to 21,009.93, 31,514.51 and 5,215.01

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Solution

The fourth proportional to 21,009.93, 31,514.51 and 5,215.01 is: 7,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.93 : 31,514.51 = 5,215.01 : x
  2. Step 2: Convert to fraction form
    21,009.93/31,514.51 = 5,215.01/x
  3. Step 3: Cross multiply
    21,009.93x = 31,514.51 × 5,215.01
  4. Step 4: Simplify right side
    21,009.93x = 164,348,340.26
  5. Step 5: Solve for x
    x = 164,348,340.26/21,009.93
  6. Step 6: Final answer
    x = 7,822.41

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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.