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Finding the Fourth Proportional to 16,598.84, 24,897.38 and 6,209.80

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Solution

The fourth proportional to 16,598.84, 24,897.38 and 6,209.80 is: 9,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.84 : 24,897.38 = 6,209.80 : x
  2. Step 2: Convert to fraction form
    16,598.84/24,897.38 = 6,209.80/x
  3. Step 3: Cross multiply
    16,598.84x = 24,897.38 × 6,209.80
  4. Step 4: Simplify right side
    16,598.84x = 154,607,750.32
  5. Step 5: Solve for x
    x = 154,607,750.32/16,598.84
  6. Step 6: Final answer
    x = 9,314.37

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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.