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Finding the Fourth Proportional to 14,914.16, 20,568.84 and 12,683.24

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Solution

The fourth proportional to 14,914.16, 20,568.84 and 12,683.24 is: 17,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.16 : 20,568.84 = 12,683.24 : x
  2. Step 2: Convert to fraction form
    14,914.16/20,568.84 = 12,683.24/x
  3. Step 3: Cross multiply
    14,914.16x = 20,568.84 × 12,683.24
  4. Step 4: Simplify right side
    14,914.16x = 260,879,534.24
  5. Step 5: Solve for x
    x = 260,879,534.24/14,914.16
  6. Step 6: Final answer
    x = 17,492.07

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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.