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Finding the Fourth Proportional to 17,502.31, 24,153.69 and 9,544.69

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Solution

The fourth proportional to 17,502.31, 24,153.69 and 9,544.69 is: 13,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.31 : 24,153.69 = 9,544.69 : x
  2. Step 2: Convert to fraction form
    17,502.31/24,153.69 = 9,544.69/x
  3. Step 3: Cross multiply
    17,502.31x = 24,153.69 × 9,544.69
  4. Step 4: Simplify right side
    17,502.31x = 230,539,483.41
  5. Step 5: Solve for x
    x = 230,539,483.41/17,502.31
  6. Step 6: Final answer
    x = 13,171.95

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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.