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Finding the Fourth Proportional to 30,837.84, 42,556.06 and 17,408.98

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Solution

The fourth proportional to 30,837.84, 42,556.06 and 17,408.98 is: 24,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.84 : 42,556.06 = 17,408.98 : x
  2. Step 2: Convert to fraction form
    30,837.84/42,556.06 = 17,408.98/x
  3. Step 3: Cross multiply
    30,837.84x = 42,556.06 × 17,408.98
  4. Step 4: Simplify right side
    30,837.84x = 740,857,384.03
  5. Step 5: Solve for x
    x = 740,857,384.03/30,837.84
  6. Step 6: Final answer
    x = 24,024.30

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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.