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Finding the Fourth Proportional to 14,078.76, 19,430.75 and 8,109.28

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Solution

The fourth proportional to 14,078.76, 19,430.75 and 8,109.28 is: 11,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.76 : 19,430.75 = 8,109.28 : x
  2. Step 2: Convert to fraction form
    14,078.76/19,430.75 = 8,109.28/x
  3. Step 3: Cross multiply
    14,078.76x = 19,430.75 × 8,109.28
  4. Step 4: Simplify right side
    14,078.76x = 157,569,392.36
  5. Step 5: Solve for x
    x = 157,569,392.36/14,078.76
  6. Step 6: Final answer
    x = 11,191.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.