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Finding the Fourth Proportional to 19,533.93, 29,264.18 and 9,661.65

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Solution

The fourth proportional to 19,533.93, 29,264.18 and 9,661.65 is: 14,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.93 : 29,264.18 = 9,661.65 : x
  2. Step 2: Convert to fraction form
    19,533.93/29,264.18 = 9,661.65/x
  3. Step 3: Cross multiply
    19,533.93x = 29,264.18 × 9,661.65
  4. Step 4: Simplify right side
    19,533.93x = 282,740,216.39
  5. Step 5: Solve for x
    x = 282,740,216.39/19,533.93
  6. Step 6: Final answer
    x = 14,474.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.