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Finding the Fourth Proportional to 14,838.39, 20,476.95 and 8,214.39

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Solution

The fourth proportional to 14,838.39, 20,476.95 and 8,214.39 is: 11,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.39 : 20,476.95 = 8,214.39 : x
  2. Step 2: Convert to fraction form
    14,838.39/20,476.95 = 8,214.39/x
  3. Step 3: Cross multiply
    14,838.39x = 20,476.95 × 8,214.39
  4. Step 4: Simplify right side
    14,838.39x = 168,205,653.31
  5. Step 5: Solve for x
    x = 168,205,653.31/14,838.39
  6. Step 6: Final answer
    x = 11,335.84

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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.