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Finding the Fourth Proportional to 17,830.33, 24,606.03 and 9,872.99

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Solution

The fourth proportional to 17,830.33, 24,606.03 and 9,872.99 is: 13,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.33 : 24,606.03 = 9,872.99 : x
  2. Step 2: Convert to fraction form
    17,830.33/24,606.03 = 9,872.99/x
  3. Step 3: Cross multiply
    17,830.33x = 24,606.03 × 9,872.99
  4. Step 4: Simplify right side
    17,830.33x = 242,935,038.86
  5. Step 5: Solve for x
    x = 242,935,038.86/17,830.33
  6. Step 6: Final answer
    x = 13,624.82

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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.