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Finding the Fourth Proportional to 14,145.12, 19,521.12 and 7,857.48

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Solution

The fourth proportional to 14,145.12, 19,521.12 and 7,857.48 is: 10,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.12 : 19,521.12 = 7,857.48 : x
  2. Step 2: Convert to fraction form
    14,145.12/19,521.12 = 7,857.48/x
  3. Step 3: Cross multiply
    14,145.12x = 19,521.12 × 7,857.48
  4. Step 4: Simplify right side
    14,145.12x = 153,386,809.98
  5. Step 5: Solve for x
    x = 153,386,809.98/14,145.12
  6. Step 6: Final answer
    x = 10,843.80

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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.