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Finding the Fourth Proportional to 14,589.64, 21,885.23 and 4,595.16

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Solution

The fourth proportional to 14,589.64, 21,885.23 and 4,595.16 is: 6,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.64 : 21,885.23 = 4,595.16 : x
  2. Step 2: Convert to fraction form
    14,589.64/21,885.23 = 4,595.16/x
  3. Step 3: Cross multiply
    14,589.64x = 21,885.23 × 4,595.16
  4. Step 4: Simplify right side
    14,589.64x = 100,566,243.25
  5. Step 5: Solve for x
    x = 100,566,243.25/14,589.64
  6. Step 6: Final answer
    x = 6,892.99

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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.