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Finding the Fourth Proportional to 25,884.76, 38,763.38 and 14,764

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Solution

The fourth proportional to 25,884.76, 38,763.38 and 14,764 is: 22,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.76 : 38,763.38 = 14,764 : x
  2. Step 2: Convert to fraction form
    25,884.76/38,763.38 = 14,764/x
  3. Step 3: Cross multiply
    25,884.76x = 38,763.38 × 14,764
  4. Step 4: Simplify right side
    25,884.76x = 572,302,542.32
  5. Step 5: Solve for x
    x = 572,302,542.32/25,884.76
  6. Step 6: Final answer
    x = 22,109.63

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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.