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Finding the Fourth Proportional to 21,412.58, 32,071.34 and 16,445.66

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Solution

The fourth proportional to 21,412.58, 32,071.34 and 16,445.66 is: 24,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.58 : 32,071.34 = 16,445.66 : x
  2. Step 2: Convert to fraction form
    21,412.58/32,071.34 = 16,445.66/x
  3. Step 3: Cross multiply
    21,412.58x = 32,071.34 × 16,445.66
  4. Step 4: Simplify right side
    21,412.58x = 527,434,353.38
  5. Step 5: Solve for x
    x = 527,434,353.38/21,412.58
  6. Step 6: Final answer
    x = 24,631.99

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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.