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Finding the Fourth Proportional to 21,890.33, 32,838.74 and 8,038.25

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Solution

The fourth proportional to 21,890.33, 32,838.74 and 8,038.25 is: 12,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890.33 : 32,838.74 = 8,038.25 : x
  2. Step 2: Convert to fraction form
    21,890.33/32,838.74 = 8,038.25/x
  3. Step 3: Cross multiply
    21,890.33x = 32,838.74 × 8,038.25
  4. Step 4: Simplify right side
    21,890.33x = 263,966,001.81
  5. Step 5: Solve for x
    x = 263,966,001.81/21,890.33
  6. Step 6: Final answer
    x = 12,058.57

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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.