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Finding the Fourth Proportional to 14,071.56, 19,418.64 and 7,784.28

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Solution

The fourth proportional to 14,071.56, 19,418.64 and 7,784.28 is: 10,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.56 : 19,418.64 = 7,784.28 : x
  2. Step 2: Convert to fraction form
    14,071.56/19,418.64 = 7,784.28/x
  3. Step 3: Cross multiply
    14,071.56x = 19,418.64 × 7,784.28
  4. Step 4: Simplify right side
    14,071.56x = 151,160,130.98
  5. Step 5: Solve for x
    x = 151,160,130.98/14,071.56
  6. Step 6: Final answer
    x = 10,742.24

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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.