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Finding the Fourth Proportional to 14,486.34, 19,989.90 and 8,435.64

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Solution

The fourth proportional to 14,486.34, 19,989.90 and 8,435.64 is: 11,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.34 : 19,989.90 = 8,435.64 : x
  2. Step 2: Convert to fraction form
    14,486.34/19,989.90 = 8,435.64/x
  3. Step 3: Cross multiply
    14,486.34x = 19,989.90 × 8,435.64
  4. Step 4: Simplify right side
    14,486.34x = 168,627,600.04
  5. Step 5: Solve for x
    x = 168,627,600.04/14,486.34
  6. Step 6: Final answer
    x = 11,640.46

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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.