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Finding the Fourth Proportional to 17,807.34, 24,574.01 and 9,849.27

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Solution

The fourth proportional to 17,807.34, 24,574.01 and 9,849.27 is: 13,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.34 : 24,574.01 = 9,849.27 : x
  2. Step 2: Convert to fraction form
    17,807.34/24,574.01 = 9,849.27/x
  3. Step 3: Cross multiply
    17,807.34x = 24,574.01 × 9,849.27
  4. Step 4: Simplify right side
    17,807.34x = 242,036,010.23
  5. Step 5: Solve for x
    x = 242,036,010.23/17,807.34
  6. Step 6: Final answer
    x = 13,591.92

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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.