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Finding the Fourth Proportional to 14,079.42, 19,426.32 and 8,416

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Solution

The fourth proportional to 14,079.42, 19,426.32 and 8,416 is: 11,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,079.42 : 19,426.32 = 8,416 : x
  2. Step 2: Convert to fraction form
    14,079.42/19,426.32 = 8,416/x
  3. Step 3: Cross multiply
    14,079.42x = 19,426.32 × 8,416
  4. Step 4: Simplify right side
    14,079.42x = 163,491,909.12
  5. Step 5: Solve for x
    x = 163,491,909.12/14,079.42
  6. Step 6: Final answer
    x = 11,612.12

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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.