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Finding the Fourth Proportional to 14,270.30, 21,405.48 and 7,699.58

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Solution

The fourth proportional to 14,270.30, 21,405.48 and 7,699.58 is: 11,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.30 : 21,405.48 = 7,699.58 : x
  2. Step 2: Convert to fraction form
    14,270.30/21,405.48 = 7,699.58/x
  3. Step 3: Cross multiply
    14,270.30x = 21,405.48 × 7,699.58
  4. Step 4: Simplify right side
    14,270.30x = 164,813,205.70
  5. Step 5: Solve for x
    x = 164,813,205.70/14,270.30
  6. Step 6: Final answer
    x = 11,549.39

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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.