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Finding the Fourth Proportional to 14,336.16, 19,784.04 and 8,285.94

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Solution

The fourth proportional to 14,336.16, 19,784.04 and 8,285.94 is: 11,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.16 : 19,784.04 = 8,285.94 : x
  2. Step 2: Convert to fraction form
    14,336.16/19,784.04 = 8,285.94/x
  3. Step 3: Cross multiply
    14,336.16x = 19,784.04 × 8,285.94
  4. Step 4: Simplify right side
    14,336.16x = 163,929,368.40
  5. Step 5: Solve for x
    x = 163,929,368.40/14,336.16
  6. Step 6: Final answer
    x = 11,434.68

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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.