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Finding the Fourth Proportional to 17,653.54, 24,361.95 and 9,587.20

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Solution

The fourth proportional to 17,653.54, 24,361.95 and 9,587.20 is: 13,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.54 : 24,361.95 = 9,587.20 : x
  2. Step 2: Convert to fraction form
    17,653.54/24,361.95 = 9,587.20/x
  3. Step 3: Cross multiply
    17,653.54x = 24,361.95 × 9,587.20
  4. Step 4: Simplify right side
    17,653.54x = 233,562,887.04
  5. Step 5: Solve for x
    x = 233,562,887.04/17,653.54
  6. Step 6: Final answer
    x = 13,230.37

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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.