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Finding the Fourth Proportional to 14,285.16, 19,722.69 and 9,807.48

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Solution

The fourth proportional to 14,285.16, 19,722.69 and 9,807.48 is: 13,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.16 : 19,722.69 = 9,807.48 : x
  2. Step 2: Convert to fraction form
    14,285.16/19,722.69 = 9,807.48/x
  3. Step 3: Cross multiply
    14,285.16x = 19,722.69 × 9,807.48
  4. Step 4: Simplify right side
    14,285.16x = 193,429,887.72
  5. Step 5: Solve for x
    x = 193,429,887.72/14,285.16
  6. Step 6: Final answer
    x = 13,540.62

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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.