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Finding the Fourth Proportional to 21,391.84, 32,061 and 10,295.56

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Solution

The fourth proportional to 21,391.84, 32,061 and 10,295.56 is: 15,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.84 : 32,061 = 10,295.56 : x
  2. Step 2: Convert to fraction form
    21,391.84/32,061 = 10,295.56/x
  3. Step 3: Cross multiply
    21,391.84x = 32,061 × 10,295.56
  4. Step 4: Simplify right side
    21,391.84x = 330,085,788.86
  5. Step 5: Solve for x
    x = 330,085,788.86/21,391.84
  6. Step 6: Final answer
    x = 15,430.46

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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.