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Finding the Fourth Proportional to 14,284.92, 21,434.67 and 6,492.72

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Solution

The fourth proportional to 14,284.92, 21,434.67 and 6,492.72 is: 9,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.92 : 21,434.67 = 6,492.72 : x
  2. Step 2: Convert to fraction form
    14,284.92/21,434.67 = 6,492.72/x
  3. Step 3: Cross multiply
    14,284.92x = 21,434.67 × 6,492.72
  4. Step 4: Simplify right side
    14,284.92x = 139,169,310.60
  5. Step 5: Solve for x
    x = 139,169,310.60/14,284.92
  6. Step 6: Final answer
    x = 9,742.39

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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.