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Finding the Fourth Proportional to 24,994, 34,493.34 and 13,816

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Solution

The fourth proportional to 24,994, 34,493.34 and 13,816 is: 19,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,994 : 34,493.34 = 13,816 : x
  2. Step 2: Convert to fraction form
    24,994/34,493.34 = 13,816/x
  3. Step 3: Cross multiply
    24,994x = 34,493.34 × 13,816
  4. Step 4: Simplify right side
    24,994x = 476,559,985.44
  5. Step 5: Solve for x
    x = 476,559,985.44/24,994
  6. Step 6: Final answer
    x = 19,066.98

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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.