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Finding the Fourth Proportional to 14,341.34, 21,513.09 and 3,953

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Solution

The fourth proportional to 14,341.34, 21,513.09 and 3,953 is: 5,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.34 : 21,513.09 = 3,953 : x
  2. Step 2: Convert to fraction form
    14,341.34/21,513.09 = 3,953/x
  3. Step 3: Cross multiply
    14,341.34x = 21,513.09 × 3,953
  4. Step 4: Simplify right side
    14,341.34x = 85,041,244.77
  5. Step 5: Solve for x
    x = 85,041,244.77/14,341.34
  6. Step 6: Final answer
    x = 5,929.80

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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.