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Finding the Fourth Proportional to 11,673.19, 17,509.77 and 4,278.24

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Solution

The fourth proportional to 11,673.19, 17,509.77 and 4,278.24 is: 6,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.19 : 17,509.77 = 4,278.24 : x
  2. Step 2: Convert to fraction form
    11,673.19/17,509.77 = 4,278.24/x
  3. Step 3: Cross multiply
    11,673.19x = 17,509.77 × 4,278.24
  4. Step 4: Simplify right side
    11,673.19x = 74,911,047.65
  5. Step 5: Solve for x
    x = 74,911,047.65/11,673.19
  6. Step 6: Final answer
    x = 6,417.36

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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.