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Finding the Fourth Proportional to 14,095.96, 19,451.55 and 7,808.34

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Solution

The fourth proportional to 14,095.96, 19,451.55 and 7,808.34 is: 10,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.96 : 19,451.55 = 7,808.34 : x
  2. Step 2: Convert to fraction form
    14,095.96/19,451.55 = 7,808.34/x
  3. Step 3: Cross multiply
    14,095.96x = 19,451.55 × 7,808.34
  4. Step 4: Simplify right side
    14,095.96x = 151,884,315.93
  5. Step 5: Solve for x
    x = 151,884,315.93/14,095.96
  6. Step 6: Final answer
    x = 10,775.02

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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.