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Finding the Fourth Proportional to 14,287.83, 21,431.75 and 6,498.87

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Solution

The fourth proportional to 14,287.83, 21,431.75 and 6,498.87 is: 9,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.83 : 21,431.75 = 6,498.87 : x
  2. Step 2: Convert to fraction form
    14,287.83/21,431.75 = 6,498.87/x
  3. Step 3: Cross multiply
    14,287.83x = 21,431.75 × 6,498.87
  4. Step 4: Simplify right side
    14,287.83x = 139,282,124.63
  5. Step 5: Solve for x
    x = 139,282,124.63/14,287.83
  6. Step 6: Final answer
    x = 9,748.31

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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.