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Finding the Fourth Proportional to 14,030.15, 19,361.09 and 7,742.39

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Solution

The fourth proportional to 14,030.15, 19,361.09 and 7,742.39 is: 10,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.15 : 19,361.09 = 7,742.39 : x
  2. Step 2: Convert to fraction form
    14,030.15/19,361.09 = 7,742.39/x
  3. Step 3: Cross multiply
    14,030.15x = 19,361.09 × 7,742.39
  4. Step 4: Simplify right side
    14,030.15x = 149,901,032.16
  5. Step 5: Solve for x
    x = 149,901,032.16/14,030.15
  6. Step 6: Final answer
    x = 10,684.21

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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.