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Finding the Fourth Proportional to 23,775.44, 32,804.68 and 15,282

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Solution

The fourth proportional to 23,775.44, 32,804.68 and 15,282 is: 21,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.44 : 32,804.68 = 15,282 : x
  2. Step 2: Convert to fraction form
    23,775.44/32,804.68 = 15,282/x
  3. Step 3: Cross multiply
    23,775.44x = 32,804.68 × 15,282
  4. Step 4: Simplify right side
    23,775.44x = 501,321,119.76
  5. Step 5: Solve for x
    x = 501,321,119.76/23,775.44
  6. Step 6: Final answer
    x = 21,085.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.