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Finding the Fourth Proportional to 14,334.84, 21,509.46 and 8,491.32

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Solution

The fourth proportional to 14,334.84, 21,509.46 and 8,491.32 is: 12,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.84 : 21,509.46 = 8,491.32 : x
  2. Step 2: Convert to fraction form
    14,334.84/21,509.46 = 8,491.32/x
  3. Step 3: Cross multiply
    14,334.84x = 21,509.46 × 8,491.32
  4. Step 4: Simplify right side
    14,334.84x = 182,643,707.89
  5. Step 5: Solve for x
    x = 182,643,707.89/14,334.84
  6. Step 6: Final answer
    x = 12,741.24

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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.