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Finding the Fourth Proportional to 14,071.50, 19,418.88 and 7,783.86

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Solution

The fourth proportional to 14,071.50, 19,418.88 and 7,783.86 is: 10,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.50 : 19,418.88 = 7,783.86 : x
  2. Step 2: Convert to fraction form
    14,071.50/19,418.88 = 7,783.86/x
  3. Step 3: Cross multiply
    14,071.50x = 19,418.88 × 7,783.86
  4. Step 4: Simplify right side
    14,071.50x = 151,153,843.28
  5. Step 5: Solve for x
    x = 151,153,843.28/14,071.50
  6. Step 6: Final answer
    x = 10,741.84

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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.