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Finding the Fourth Proportional to 14,155.36, 19,538.11 and 9,677.48

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Solution

The fourth proportional to 14,155.36, 19,538.11 and 9,677.48 is: 13,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.36 : 19,538.11 = 9,677.48 : x
  2. Step 2: Convert to fraction form
    14,155.36/19,538.11 = 9,677.48/x
  3. Step 3: Cross multiply
    14,155.36x = 19,538.11 × 9,677.48
  4. Step 4: Simplify right side
    14,155.36x = 189,079,583.17
  5. Step 5: Solve for x
    x = 189,079,583.17/14,155.36
  6. Step 6: Final answer
    x = 13,357.46

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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.