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Finding the Fourth Proportional to 35,346.07, 53,007.84 and 11,649.19

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Solution

The fourth proportional to 35,346.07, 53,007.84 and 11,649.19 is: 17,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,346.07 : 53,007.84 = 11,649.19 : x
  2. Step 2: Convert to fraction form
    35,346.07/53,007.84 = 11,649.19/x
  3. Step 3: Cross multiply
    35,346.07x = 53,007.84 × 11,649.19
  4. Step 4: Simplify right side
    35,346.07x = 617,498,399.65
  5. Step 5: Solve for x
    x = 617,498,399.65/35,346.07
  6. Step 6: Final answer
    x = 17,470.07

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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.