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Finding the Fourth Proportional to 14,192.53, 19,585.40 and 8,890.27

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Solution

The fourth proportional to 14,192.53, 19,585.40 and 8,890.27 is: 12,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.53 : 19,585.40 = 8,890.27 : x
  2. Step 2: Convert to fraction form
    14,192.53/19,585.40 = 8,890.27/x
  3. Step 3: Cross multiply
    14,192.53x = 19,585.40 × 8,890.27
  4. Step 4: Simplify right side
    14,192.53x = 174,119,400.64
  5. Step 5: Solve for x
    x = 174,119,400.64/14,192.53
  6. Step 6: Final answer
    x = 12,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.