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Finding the Fourth Proportional to 14,109.93, 19,470.63 and 7,735.50

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Solution

The fourth proportional to 14,109.93, 19,470.63 and 7,735.50 is: 10,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.93 : 19,470.63 = 7,735.50 : x
  2. Step 2: Convert to fraction form
    14,109.93/19,470.63 = 7,735.50/x
  3. Step 3: Cross multiply
    14,109.93x = 19,470.63 × 7,735.50
  4. Step 4: Simplify right side
    14,109.93x = 150,615,058.37
  5. Step 5: Solve for x
    x = 150,615,058.37/14,109.93
  6. Step 6: Final answer
    x = 10,674.40

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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.