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Finding the Fourth Proportional to 13,975.93, 19,287.08 and 7,688.31

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Solution

The fourth proportional to 13,975.93, 19,287.08 and 7,688.31 is: 10,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.93 : 19,287.08 = 7,688.31 : x
  2. Step 2: Convert to fraction form
    13,975.93/19,287.08 = 7,688.31/x
  3. Step 3: Cross multiply
    13,975.93x = 19,287.08 × 7,688.31
  4. Step 4: Simplify right side
    13,975.93x = 148,284,953.60
  5. Step 5: Solve for x
    x = 148,284,953.60/13,975.93
  6. Step 6: Final answer
    x = 10,610.02

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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.