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Finding the Fourth Proportional to 15,888.90, 23,817.84 and 7,566.67

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Solution

The fourth proportional to 15,888.90, 23,817.84 and 7,566.67 is: 11,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.90 : 23,817.84 = 7,566.67 : x
  2. Step 2: Convert to fraction form
    15,888.90/23,817.84 = 7,566.67/x
  3. Step 3: Cross multiply
    15,888.90x = 23,817.84 × 7,566.67
  4. Step 4: Simplify right side
    15,888.90x = 180,221,735.39
  5. Step 5: Solve for x
    x = 180,221,735.39/15,888.90
  6. Step 6: Final answer
    x = 11,342.62

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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.