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Finding the Fourth Proportional to 19,533.69, 29,279.88 and 6,382.53

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Solution

The fourth proportional to 19,533.69, 29,279.88 and 6,382.53 is: 9,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.69 : 29,279.88 = 6,382.53 : x
  2. Step 2: Convert to fraction form
    19,533.69/29,279.88 = 6,382.53/x
  3. Step 3: Cross multiply
    19,533.69x = 29,279.88 × 6,382.53
  4. Step 4: Simplify right side
    19,533.69x = 186,879,712.50
  5. Step 5: Solve for x
    x = 186,879,712.50/19,533.69
  6. Step 6: Final answer
    x = 9,567.05

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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.