Home / 17,657.24-24,369-11,284.16

Finding the Fourth Proportional to 17,657.24, 24,369 and 11,284.16

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Solution

The fourth proportional to 17,657.24, 24,369 and 11,284.16 is: 15,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.24 : 24,369 = 11,284.16 : x
  2. Step 2: Convert to fraction form
    17,657.24/24,369 = 11,284.16/x
  3. Step 3: Cross multiply
    17,657.24x = 24,369 × 11,284.16
  4. Step 4: Simplify right side
    17,657.24x = 274,983,695.04
  5. Step 5: Solve for x
    x = 274,983,695.04/17,657.24
  6. Step 6: Final answer
    x = 15,573.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.