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Finding the Fourth Proportional to 14,191.68, 19,589.06 and 9,156.04

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Solution

The fourth proportional to 14,191.68, 19,589.06 and 9,156.04 is: 12,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.68 : 19,589.06 = 9,156.04 : x
  2. Step 2: Convert to fraction form
    14,191.68/19,589.06 = 9,156.04/x
  3. Step 3: Cross multiply
    14,191.68x = 19,589.06 × 9,156.04
  4. Step 4: Simplify right side
    14,191.68x = 179,358,216.92
  5. Step 5: Solve for x
    x = 179,358,216.92/14,191.68
  6. Step 6: Final answer
    x = 12,638.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.