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Finding the Fourth Proportional to 13,975.85, 20,878.78 and 9,995.51

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Solution

The fourth proportional to 13,975.85, 20,878.78 and 9,995.51 is: 14,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.85 : 20,878.78 = 9,995.51 : x
  2. Step 2: Convert to fraction form
    13,975.85/20,878.78 = 9,995.51/x
  3. Step 3: Cross multiply
    13,975.85x = 20,878.78 × 9,995.51
  4. Step 4: Simplify right side
    13,975.85x = 208,693,999.34
  5. Step 5: Solve for x
    x = 208,693,999.34/13,975.85
  6. Step 6: Final answer
    x = 14,932.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.