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Finding the Fourth Proportional to 14,071.50, 19,418.67 and 7,784.28

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Solution

The fourth proportional to 14,071.50, 19,418.67 and 7,784.28 is: 10,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.50 : 19,418.67 = 7,784.28 : x
  2. Step 2: Convert to fraction form
    14,071.50/19,418.67 = 7,784.28/x
  3. Step 3: Cross multiply
    14,071.50x = 19,418.67 × 7,784.28
  4. Step 4: Simplify right side
    14,071.50x = 151,160,364.51
  5. Step 5: Solve for x
    x = 151,160,364.51/14,071.50
  6. Step 6: Final answer
    x = 10,742.31

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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.