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Finding the Fourth Proportional to 14,287.29, 19,705.63 and 12,515.82

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Solution

The fourth proportional to 14,287.29, 19,705.63 and 12,515.82 is: 17,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.29 : 19,705.63 = 12,515.82 : x
  2. Step 2: Convert to fraction form
    14,287.29/19,705.63 = 12,515.82/x
  3. Step 3: Cross multiply
    14,287.29x = 19,705.63 × 12,515.82
  4. Step 4: Simplify right side
    14,287.29x = 246,632,036.35
  5. Step 5: Solve for x
    x = 246,632,036.35/14,287.29
  6. Step 6: Final answer
    x = 17,262.34

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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.