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Finding the Fourth Proportional to 17,807.49, 24,574.32 and 9,849.51

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Solution

The fourth proportional to 17,807.49, 24,574.32 and 9,849.51 is: 13,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.49 : 24,574.32 = 9,849.51 : x
  2. Step 2: Convert to fraction form
    17,807.49/24,574.32 = 9,849.51/x
  3. Step 3: Cross multiply
    17,807.49x = 24,574.32 × 9,849.51
  4. Step 4: Simplify right side
    17,807.49x = 242,045,010.58
  5. Step 5: Solve for x
    x = 242,045,010.58/17,807.49
  6. Step 6: Final answer
    x = 13,592.31

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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.