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Finding the Fourth Proportional to 14,497.77, 19,993.15 and 9,460.38

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Solution

The fourth proportional to 14,497.77, 19,993.15 and 9,460.38 is: 13,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.77 : 19,993.15 = 9,460.38 : x
  2. Step 2: Convert to fraction form
    14,497.77/19,993.15 = 9,460.38/x
  3. Step 3: Cross multiply
    14,497.77x = 19,993.15 × 9,460.38
  4. Step 4: Simplify right side
    14,497.77x = 189,142,749.10
  5. Step 5: Solve for x
    x = 189,142,749.10/14,497.77
  6. Step 6: Final answer
    x = 13,046.33

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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.