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Finding the Fourth Proportional to 14,173.16, 19,558.08 and 7,798.46

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Solution

The fourth proportional to 14,173.16, 19,558.08 and 7,798.46 is: 10,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.16 : 19,558.08 = 7,798.46 : x
  2. Step 2: Convert to fraction form
    14,173.16/19,558.08 = 7,798.46/x
  3. Step 3: Cross multiply
    14,173.16x = 19,558.08 × 7,798.46
  4. Step 4: Simplify right side
    14,173.16x = 152,522,806.77
  5. Step 5: Solve for x
    x = 152,522,806.77/14,173.16
  6. Step 6: Final answer
    x = 10,761.39

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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.