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Finding the Fourth Proportional to 10,173.89, 15,233.50 and 6,455.99

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Solution

The fourth proportional to 10,173.89, 15,233.50 and 6,455.99 is: 9,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.89 : 15,233.50 = 6,455.99 : x
  2. Step 2: Convert to fraction form
    10,173.89/15,233.50 = 6,455.99/x
  3. Step 3: Cross multiply
    10,173.89x = 15,233.50 × 6,455.99
  4. Step 4: Simplify right side
    10,173.89x = 98,347,364.65
  5. Step 5: Solve for x
    x = 98,347,364.65/10,173.89
  6. Step 6: Final answer
    x = 9,666.64

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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.