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Finding the Fourth Proportional to 17,852.40, 24,637.77 and 9,896.99

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Solution

The fourth proportional to 17,852.40, 24,637.77 and 9,896.99 is: 13,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.40 : 24,637.77 = 9,896.99 : x
  2. Step 2: Convert to fraction form
    17,852.40/24,637.77 = 9,896.99/x
  3. Step 3: Cross multiply
    17,852.40x = 24,637.77 × 9,896.99
  4. Step 4: Simplify right side
    17,852.40x = 243,839,640.12
  5. Step 5: Solve for x
    x = 243,839,640.12/17,852.40
  6. Step 6: Final answer
    x = 13,658.65

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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.