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Finding the Fourth Proportional to 14,135.07, 19,507.28 and 7,847.49

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Solution

The fourth proportional to 14,135.07, 19,507.28 and 7,847.49 is: 10,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.07 : 19,507.28 = 7,847.49 : x
  2. Step 2: Convert to fraction form
    14,135.07/19,507.28 = 7,847.49/x
  3. Step 3: Cross multiply
    14,135.07x = 19,507.28 × 7,847.49
  4. Step 4: Simplify right side
    14,135.07x = 153,083,145.49
  5. Step 5: Solve for x
    x = 153,083,145.49/14,135.07
  6. Step 6: Final answer
    x = 10,830.02

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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.