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Finding the Fourth Proportional to 25,994, 35,871.76 and 14,816

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Solution

The fourth proportional to 25,994, 35,871.76 and 14,816 is: 20,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994 : 35,871.76 = 14,816 : x
  2. Step 2: Convert to fraction form
    25,994/35,871.76 = 14,816/x
  3. Step 3: Cross multiply
    25,994x = 35,871.76 × 14,816
  4. Step 4: Simplify right side
    25,994x = 531,475,996.16
  5. Step 5: Solve for x
    x = 531,475,996.16/25,994
  6. Step 6: Final answer
    x = 20,446.10

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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.