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Finding the Fourth Proportional to 21,898.46, 32,848.50 and 7,109.48

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Solution

The fourth proportional to 21,898.46, 32,848.50 and 7,109.48 is: 10,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.46 : 32,848.50 = 7,109.48 : x
  2. Step 2: Convert to fraction form
    21,898.46/32,848.50 = 7,109.48/x
  3. Step 3: Cross multiply
    21,898.46x = 32,848.50 × 7,109.48
  4. Step 4: Simplify right side
    21,898.46x = 233,535,753.78
  5. Step 5: Solve for x
    x = 233,535,753.78/21,898.46
  6. Step 6: Final answer
    x = 10,664.48

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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.