Home / 15,772.30-23,609.22-11,617

Finding the Fourth Proportional to 15,772.30, 23,609.22 and 11,617

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Solution

The fourth proportional to 15,772.30, 23,609.22 and 11,617 is: 17,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.30 : 23,609.22 = 11,617 : x
  2. Step 2: Convert to fraction form
    15,772.30/23,609.22 = 11,617/x
  3. Step 3: Cross multiply
    15,772.30x = 23,609.22 × 11,617
  4. Step 4: Simplify right side
    15,772.30x = 274,268,308.74
  5. Step 5: Solve for x
    x = 274,268,308.74/15,772.30
  6. Step 6: Final answer
    x = 17,389.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.