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Finding the Fourth Proportional to 14,101.68, 19,459.76 and 7,814.46

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Solution

The fourth proportional to 14,101.68, 19,459.76 and 7,814.46 is: 10,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.68 : 19,459.76 = 7,814.46 : x
  2. Step 2: Convert to fraction form
    14,101.68/19,459.76 = 7,814.46/x
  3. Step 3: Cross multiply
    14,101.68x = 19,459.76 × 7,814.46
  4. Step 4: Simplify right side
    14,101.68x = 152,067,516.13
  5. Step 5: Solve for x
    x = 152,067,516.13/14,101.68
  6. Step 6: Final answer
    x = 10,783.65

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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.