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Finding the Fourth Proportional to 17,030.40, 23,502.72 and 9,578.40

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Solution

The fourth proportional to 17,030.40, 23,502.72 and 9,578.40 is: 13,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.40 : 23,502.72 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    17,030.40/23,502.72 = 9,578.40/x
  3. Step 3: Cross multiply
    17,030.40x = 23,502.72 × 9,578.40
  4. Step 4: Simplify right side
    17,030.40x = 225,118,453.25
  5. Step 5: Solve for x
    x = 225,118,453.25/17,030.40
  6. Step 6: Final answer
    x = 13,218.62

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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.