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Finding the Fourth Proportional to 12,857.51, 19,281 and 4,090.07

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Solution

The fourth proportional to 12,857.51, 19,281 and 4,090.07 is: 6,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.51 : 19,281 = 4,090.07 : x
  2. Step 2: Convert to fraction form
    12,857.51/19,281 = 4,090.07/x
  3. Step 3: Cross multiply
    12,857.51x = 19,281 × 4,090.07
  4. Step 4: Simplify right side
    12,857.51x = 78,860,639.67
  5. Step 5: Solve for x
    x = 78,860,639.67/12,857.51
  6. Step 6: Final answer
    x = 6,133.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.