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Finding the Fourth Proportional to 14,102.46, 19,461.42 and 8,797.32

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Solution

The fourth proportional to 14,102.46, 19,461.42 and 8,797.32 is: 12,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.46 : 19,461.42 = 8,797.32 : x
  2. Step 2: Convert to fraction form
    14,102.46/19,461.42 = 8,797.32/x
  3. Step 3: Cross multiply
    14,102.46x = 19,461.42 × 8,797.32
  4. Step 4: Simplify right side
    14,102.46x = 171,208,339.39
  5. Step 5: Solve for x
    x = 171,208,339.39/14,102.46
  6. Step 6: Final answer
    x = 12,140.32

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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.