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Finding the Fourth Proportional to 13,995.48, 19,314 and 7,707.72

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Solution

The fourth proportional to 13,995.48, 19,314 and 7,707.72 is: 10,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.48 : 19,314 = 7,707.72 : x
  2. Step 2: Convert to fraction form
    13,995.48/19,314 = 7,707.72/x
  3. Step 3: Cross multiply
    13,995.48x = 19,314 × 7,707.72
  4. Step 4: Simplify right side
    13,995.48x = 148,866,904.08
  5. Step 5: Solve for x
    x = 148,866,904.08/13,995.48
  6. Step 6: Final answer
    x = 10,636.78

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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.