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Finding the Fourth Proportional to 14,164.39, 19,536.55 and 9,683.47

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Solution

The fourth proportional to 14,164.39, 19,536.55 and 9,683.47 is: 13,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.39 : 19,536.55 = 9,683.47 : x
  2. Step 2: Convert to fraction form
    14,164.39/19,536.55 = 9,683.47/x
  3. Step 3: Cross multiply
    14,164.39x = 19,536.55 × 9,683.47
  4. Step 4: Simplify right side
    14,164.39x = 189,181,595.83
  5. Step 5: Solve for x
    x = 189,181,595.83/14,164.39
  6. Step 6: Final answer
    x = 13,356.14

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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.