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Finding the Fourth Proportional to 19,907.86, 29,866.11 and 6,056.50

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Solution

The fourth proportional to 19,907.86, 29,866.11 and 6,056.50 is: 9,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.86 : 29,866.11 = 6,056.50 : x
  2. Step 2: Convert to fraction form
    19,907.86/29,866.11 = 6,056.50/x
  3. Step 3: Cross multiply
    19,907.86x = 29,866.11 × 6,056.50
  4. Step 4: Simplify right side
    19,907.86x = 180,884,095.22
  5. Step 5: Solve for x
    x = 180,884,095.22/19,907.86
  6. Step 6: Final answer
    x = 9,086.06

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Why These Related Problems?

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