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Finding the Fourth Proportional to 15,729.32, 23,584.08 and 7,404.32

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Solution

The fourth proportional to 15,729.32, 23,584.08 and 7,404.32 is: 11,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.32 : 23,584.08 = 7,404.32 : x
  2. Step 2: Convert to fraction form
    15,729.32/23,584.08 = 7,404.32/x
  3. Step 3: Cross multiply
    15,729.32x = 23,584.08 × 7,404.32
  4. Step 4: Simplify right side
    15,729.32x = 174,624,075.23
  5. Step 5: Solve for x
    x = 174,624,075.23/15,729.32
  6. Step 6: Final answer
    x = 11,101.82

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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.