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Finding the Fourth Proportional to 14,071.89, 19,419.84 and 7,783.86

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Solution

The fourth proportional to 14,071.89, 19,419.84 and 7,783.86 is: 10,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.89 : 19,419.84 = 7,783.86 : x
  2. Step 2: Convert to fraction form
    14,071.89/19,419.84 = 7,783.86/x
  3. Step 3: Cross multiply
    14,071.89x = 19,419.84 × 7,783.86
  4. Step 4: Simplify right side
    14,071.89x = 151,161,315.78
  5. Step 5: Solve for x
    x = 151,161,315.78/14,071.89
  6. Step 6: Final answer
    x = 10,742.08

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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.