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Finding the Fourth Proportional to 19,907.76, 29,838.96 and 8,206.32

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Solution

The fourth proportional to 19,907.76, 29,838.96 and 8,206.32 is: 12,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.76 : 29,838.96 = 8,206.32 : x
  2. Step 2: Convert to fraction form
    19,907.76/29,838.96 = 8,206.32/x
  3. Step 3: Cross multiply
    19,907.76x = 29,838.96 × 8,206.32
  4. Step 4: Simplify right side
    19,907.76x = 244,868,054.23
  5. Step 5: Solve for x
    x = 244,868,054.23/19,907.76
  6. Step 6: Final answer
    x = 12,300.13

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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.