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Finding the Fourth Proportional to 14,420.14, 21,642.99 and 7,405.06

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Solution

The fourth proportional to 14,420.14, 21,642.99 and 7,405.06 is: 11,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.14 : 21,642.99 = 7,405.06 : x
  2. Step 2: Convert to fraction form
    14,420.14/21,642.99 = 7,405.06/x
  3. Step 3: Cross multiply
    14,420.14x = 21,642.99 × 7,405.06
  4. Step 4: Simplify right side
    14,420.14x = 160,267,639.53
  5. Step 5: Solve for x
    x = 160,267,639.53/14,420.14
  6. Step 6: Final answer
    x = 11,114.15

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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.