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Finding the Fourth Proportional to 13,995.64, 19,313.22 and 7,707.52

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Solution

The fourth proportional to 13,995.64, 19,313.22 and 7,707.52 is: 10,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.64 : 19,313.22 = 7,707.52 : x
  2. Step 2: Convert to fraction form
    13,995.64/19,313.22 = 7,707.52/x
  3. Step 3: Cross multiply
    13,995.64x = 19,313.22 × 7,707.52
  4. Step 4: Simplify right side
    13,995.64x = 148,857,029.41
  5. Step 5: Solve for x
    x = 148,857,029.41/13,995.64
  6. Step 6: Final answer
    x = 10,635.96

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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.