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Finding the Fourth Proportional to 25,890, 35,728.20 and 14,712

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Solution

The fourth proportional to 25,890, 35,728.20 and 14,712 is: 20,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890 : 35,728.20 = 14,712 : x
  2. Step 2: Convert to fraction form
    25,890/35,728.20 = 14,712/x
  3. Step 3: Cross multiply
    25,890x = 35,728.20 × 14,712
  4. Step 4: Simplify right side
    25,890x = 525,633,278.40
  5. Step 5: Solve for x
    x = 525,633,278.40/25,890
  6. Step 6: Final answer
    x = 20,302.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.