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Finding the Fourth Proportional to 21,111.84, 31,645.59 and 10,005.22

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Solution

The fourth proportional to 21,111.84, 31,645.59 and 10,005.22 is: 14,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111.84 : 31,645.59 = 10,005.22 : x
  2. Step 2: Convert to fraction form
    21,111.84/31,645.59 = 10,005.22/x
  3. Step 3: Cross multiply
    21,111.84x = 31,645.59 × 10,005.22
  4. Step 4: Simplify right side
    21,111.84x = 316,621,092.02
  5. Step 5: Solve for x
    x = 316,621,092.02/21,111.84
  6. Step 6: Final answer
    x = 14,997.32

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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.