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Finding the Fourth Proportional to 35,350.67, 53,014.74 and 11,653.80

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Solution

The fourth proportional to 35,350.67, 53,014.74 and 11,653.80 is: 17,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,350.67 : 53,014.74 = 11,653.80 : x
  2. Step 2: Convert to fraction form
    35,350.67/53,014.74 = 11,653.80/x
  3. Step 3: Cross multiply
    35,350.67x = 53,014.74 × 11,653.80
  4. Step 4: Simplify right side
    35,350.67x = 617,823,133.31
  5. Step 5: Solve for x
    x = 617,823,133.31/35,350.67
  6. Step 6: Final answer
    x = 17,476.98

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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.