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Finding the Fourth Proportional to 13,946.38, 19,246.01 and 7,978.03

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Solution

The fourth proportional to 13,946.38, 19,246.01 and 7,978.03 is: 11,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.38 : 19,246.01 = 7,978.03 : x
  2. Step 2: Convert to fraction form
    13,946.38/19,246.01 = 7,978.03/x
  3. Step 3: Cross multiply
    13,946.38x = 19,246.01 × 7,978.03
  4. Step 4: Simplify right side
    13,946.38x = 153,545,157.16
  5. Step 5: Solve for x
    x = 153,545,157.16/13,946.38
  6. Step 6: Final answer
    x = 11,009.68

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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.