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Finding the Fourth Proportional to 17,807.20, 24,573.78 and 9,849.34

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Solution

The fourth proportional to 17,807.20, 24,573.78 and 9,849.34 is: 13,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.20 : 24,573.78 = 9,849.34 : x
  2. Step 2: Convert to fraction form
    17,807.20/24,573.78 = 9,849.34/x
  3. Step 3: Cross multiply
    17,807.20x = 24,573.78 × 9,849.34
  4. Step 4: Simplify right side
    17,807.20x = 242,035,514.31
  5. Step 5: Solve for x
    x = 242,035,514.31/17,807.20
  6. Step 6: Final answer
    x = 13,592.00

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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.