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Finding the Fourth Proportional to 15,908.62, 23,824.59 and 9,315.22

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Solution

The fourth proportional to 15,908.62, 23,824.59 and 9,315.22 is: 13,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.62 : 23,824.59 = 9,315.22 : x
  2. Step 2: Convert to fraction form
    15,908.62/23,824.59 = 9,315.22/x
  3. Step 3: Cross multiply
    15,908.62x = 23,824.59 × 9,315.22
  4. Step 4: Simplify right side
    15,908.62x = 221,931,297.26
  5. Step 5: Solve for x
    x = 221,931,297.26/15,908.62
  6. Step 6: Final answer
    x = 13,950.38

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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.