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Finding the Fourth Proportional to 14,384.19, 19,845.43 and 8,411.63

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Solution

The fourth proportional to 14,384.19, 19,845.43 and 8,411.63 is: 11,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.19 : 19,845.43 = 8,411.63 : x
  2. Step 2: Convert to fraction form
    14,384.19/19,845.43 = 8,411.63/x
  3. Step 3: Cross multiply
    14,384.19x = 19,845.43 × 8,411.63
  4. Step 4: Simplify right side
    14,384.19x = 166,932,372.29
  5. Step 5: Solve for x
    x = 166,932,372.29/14,384.19
  6. Step 6: Final answer
    x = 11,605.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.