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Finding the Fourth Proportional to 14,145.16, 19,519.54 and 7,857.13

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Solution

The fourth proportional to 14,145.16, 19,519.54 and 7,857.13 is: 10,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.16 : 19,519.54 = 7,857.13 : x
  2. Step 2: Convert to fraction form
    14,145.16/19,519.54 = 7,857.13/x
  3. Step 3: Cross multiply
    14,145.16x = 19,519.54 × 7,857.13
  4. Step 4: Simplify right side
    14,145.16x = 153,367,563.32
  5. Step 5: Solve for x
    x = 153,367,563.32/14,145.16
  6. Step 6: Final answer
    x = 10,842.41

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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.