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Finding the Fourth Proportional to 28,109.86, 42,164.80 and 8,402.27

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Solution

The fourth proportional to 28,109.86, 42,164.80 and 8,402.27 is: 12,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,109.86 : 42,164.80 = 8,402.27 : x
  2. Step 2: Convert to fraction form
    28,109.86/42,164.80 = 8,402.27/x
  3. Step 3: Cross multiply
    28,109.86x = 42,164.80 × 8,402.27
  4. Step 4: Simplify right side
    28,109.86x = 354,279,802.27
  5. Step 5: Solve for x
    x = 354,279,802.27/28,109.86
  6. Step 6: Final answer
    x = 12,603.40

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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.