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Finding the Fourth Proportional to 14,146.47, 19,523.34 and 7,859.25

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Solution

The fourth proportional to 14,146.47, 19,523.34 and 7,859.25 is: 10,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.47 : 19,523.34 = 7,859.25 : x
  2. Step 2: Convert to fraction form
    14,146.47/19,523.34 = 7,859.25/x
  3. Step 3: Cross multiply
    14,146.47x = 19,523.34 × 7,859.25
  4. Step 4: Simplify right side
    14,146.47x = 153,438,809.90
  5. Step 5: Solve for x
    x = 153,438,809.90/14,146.47
  6. Step 6: Final answer
    x = 10,846.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.