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Finding the Fourth Proportional to 15,677.96, 23,509.22 and 7,771.40

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Solution

The fourth proportional to 15,677.96, 23,509.22 and 7,771.40 is: 11,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.96 : 23,509.22 = 7,771.40 : x
  2. Step 2: Convert to fraction form
    15,677.96/23,509.22 = 7,771.40/x
  3. Step 3: Cross multiply
    15,677.96x = 23,509.22 × 7,771.40
  4. Step 4: Simplify right side
    15,677.96x = 182,699,552.31
  5. Step 5: Solve for x
    x = 182,699,552.31/15,677.96
  6. Step 6: Final answer
    x = 11,653.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.