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Finding the Fourth Proportional to 21,724, 32,586.32 and 5,308

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Solution

The fourth proportional to 21,724, 32,586.32 and 5,308 is: 7,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724 : 32,586.32 = 5,308 : x
  2. Step 2: Convert to fraction form
    21,724/32,586.32 = 5,308/x
  3. Step 3: Cross multiply
    21,724x = 32,586.32 × 5,308
  4. Step 4: Simplify right side
    21,724x = 172,968,186.56
  5. Step 5: Solve for x
    x = 172,968,186.56/21,724
  6. Step 6: Final answer
    x = 7,962.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.