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Finding the Fourth Proportional to 21,388.32, 32,034.96 and 16,421.40

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Solution

The fourth proportional to 21,388.32, 32,034.96 and 16,421.40 is: 24,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388.32 : 32,034.96 = 16,421.40 : x
  2. Step 2: Convert to fraction form
    21,388.32/32,034.96 = 16,421.40/x
  3. Step 3: Cross multiply
    21,388.32x = 32,034.96 × 16,421.40
  4. Step 4: Simplify right side
    21,388.32x = 526,058,892.14
  5. Step 5: Solve for x
    x = 526,058,892.14/21,388.32
  6. Step 6: Final answer
    x = 24,595.62

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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.