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Finding the Fourth Proportional to 14,127.12, 19,495.38 and 7,753.82

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Solution

The fourth proportional to 14,127.12, 19,495.38 and 7,753.82 is: 10,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.12 : 19,495.38 = 7,753.82 : x
  2. Step 2: Convert to fraction form
    14,127.12/19,495.38 = 7,753.82/x
  3. Step 3: Cross multiply
    14,127.12x = 19,495.38 × 7,753.82
  4. Step 4: Simplify right side
    14,127.12x = 151,163,667.35
  5. Step 5: Solve for x
    x = 151,163,667.35/14,127.12
  6. Step 6: Final answer
    x = 10,700.25

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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.