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Finding the Fourth Proportional to 17,509.94, 24,164.06 and 9,552.46

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Solution

The fourth proportional to 17,509.94, 24,164.06 and 9,552.46 is: 13,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.94 : 24,164.06 = 9,552.46 : x
  2. Step 2: Convert to fraction form
    17,509.94/24,164.06 = 9,552.46/x
  3. Step 3: Cross multiply
    17,509.94x = 24,164.06 × 9,552.46
  4. Step 4: Simplify right side
    17,509.94x = 230,826,216.59
  5. Step 5: Solve for x
    x = 230,826,216.59/17,509.94
  6. Step 6: Final answer
    x = 13,182.58

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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.