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Finding the Fourth Proportional to 23,804.53, 35,711.80 and 9,013.12

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Solution

The fourth proportional to 23,804.53, 35,711.80 and 9,013.12 is: 13,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.53 : 35,711.80 = 9,013.12 : x
  2. Step 2: Convert to fraction form
    23,804.53/35,711.80 = 9,013.12/x
  3. Step 3: Cross multiply
    23,804.53x = 35,711.80 × 9,013.12
  4. Step 4: Simplify right side
    23,804.53x = 321,874,738.82
  5. Step 5: Solve for x
    x = 321,874,738.82/23,804.53
  6. Step 6: Final answer
    x = 13,521.58

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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.