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Finding the Fourth Proportional to 25,954, 35,816.56 and 14,776

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Solution

The fourth proportional to 25,954, 35,816.56 and 14,776 is: 20,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,954 : 35,816.56 = 14,776 : x
  2. Step 2: Convert to fraction form
    25,954/35,816.56 = 14,776/x
  3. Step 3: Cross multiply
    25,954x = 35,816.56 × 14,776
  4. Step 4: Simplify right side
    25,954x = 529,225,490.56
  5. Step 5: Solve for x
    x = 529,225,490.56/25,954
  6. Step 6: Final answer
    x = 20,390.90

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Why These Related Problems?

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