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Finding the Fourth Proportional to 14,030.40, 19,361.60 and 7,742.56

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Solution

The fourth proportional to 14,030.40, 19,361.60 and 7,742.56 is: 10,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.40 : 19,361.60 = 7,742.56 : x
  2. Step 2: Convert to fraction form
    14,030.40/19,361.60 = 7,742.56/x
  3. Step 3: Cross multiply
    14,030.40x = 19,361.60 × 7,742.56
  4. Step 4: Simplify right side
    14,030.40x = 149,908,349.70
  5. Step 5: Solve for x
    x = 149,908,349.70/14,030.40
  6. Step 6: Final answer
    x = 10,684.54

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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.