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Finding the Fourth Proportional to 14,433.96, 19,914.33 and 8,465.88

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Solution

The fourth proportional to 14,433.96, 19,914.33 and 8,465.88 is: 11,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.96 : 19,914.33 = 8,465.88 : x
  2. Step 2: Convert to fraction form
    14,433.96/19,914.33 = 8,465.88/x
  3. Step 3: Cross multiply
    14,433.96x = 19,914.33 × 8,465.88
  4. Step 4: Simplify right side
    14,433.96x = 168,592,328.06
  5. Step 5: Solve for x
    x = 168,592,328.06/14,433.96
  6. Step 6: Final answer
    x = 11,680.25

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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.