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Finding the Fourth Proportional to 27,006.40, 40,509.60 and 17,675.20

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Solution

The fourth proportional to 27,006.40, 40,509.60 and 17,675.20 is: 26,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.40 : 40,509.60 = 17,675.20 : x
  2. Step 2: Convert to fraction form
    27,006.40/40,509.60 = 17,675.20/x
  3. Step 3: Cross multiply
    27,006.40x = 40,509.60 × 17,675.20
  4. Step 4: Simplify right side
    27,006.40x = 716,015,281.92
  5. Step 5: Solve for x
    x = 716,015,281.92/27,006.40
  6. Step 6: Final answer
    x = 26,512.80

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1.5x scale

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.