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Finding the Fourth Proportional to 14,090.16, 19,443.44 and 7,802

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Solution

The fourth proportional to 14,090.16, 19,443.44 and 7,802 is: 10,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.16 : 19,443.44 = 7,802 : x
  2. Step 2: Convert to fraction form
    14,090.16/19,443.44 = 7,802/x
  3. Step 3: Cross multiply
    14,090.16x = 19,443.44 × 7,802
  4. Step 4: Simplify right side
    14,090.16x = 151,697,718.88
  5. Step 5: Solve for x
    x = 151,697,718.88/14,090.16
  6. Step 6: Final answer
    x = 10,766.22

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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.