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Finding the Fourth Proportional to 14,643.84, 21,969.36 and 4,255.68

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Solution

The fourth proportional to 14,643.84, 21,969.36 and 4,255.68 is: 6,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.84 : 21,969.36 = 4,255.68 : x
  2. Step 2: Convert to fraction form
    14,643.84/21,969.36 = 4,255.68/x
  3. Step 3: Cross multiply
    14,643.84x = 21,969.36 × 4,255.68
  4. Step 4: Simplify right side
    14,643.84x = 93,494,565.96
  5. Step 5: Solve for x
    x = 93,494,565.96/14,643.84
  6. Step 6: Final answer
    x = 6,384.57

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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.