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Finding the Fourth Proportional to 35,405.40, 53,106.33 and 13,217.07

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Solution

The fourth proportional to 35,405.40, 53,106.33 and 13,217.07 is: 19,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,405.40 : 53,106.33 = 13,217.07 : x
  2. Step 2: Convert to fraction form
    35,405.40/53,106.33 = 13,217.07/x
  3. Step 3: Cross multiply
    35,405.40x = 53,106.33 × 13,217.07
  4. Step 4: Simplify right side
    35,405.40x = 701,910,081.05
  5. Step 5: Solve for x
    x = 701,910,081.05/35,405.40
  6. Step 6: Final answer
    x = 19,824.94

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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.