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Finding the Fourth Proportional to 10,455.96, 15,646.68 and 9,760.80

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Solution

The fourth proportional to 10,455.96, 15,646.68 and 9,760.80 is: 14,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.96 : 15,646.68 = 9,760.80 : x
  2. Step 2: Convert to fraction form
    10,455.96/15,646.68 = 9,760.80/x
  3. Step 3: Cross multiply
    10,455.96x = 15,646.68 × 9,760.80
  4. Step 4: Simplify right side
    10,455.96x = 152,724,114.14
  5. Step 5: Solve for x
    x = 152,724,114.14/10,455.96
  6. Step 6: Final answer
    x = 14,606.42

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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.