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Finding the Fourth Proportional to 14,263.53, 19,684.32 and 7,975.89

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Solution

The fourth proportional to 14,263.53, 19,684.32 and 7,975.89 is: 11,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.53 : 19,684.32 = 7,975.89 : x
  2. Step 2: Convert to fraction form
    14,263.53/19,684.32 = 7,975.89/x
  3. Step 3: Cross multiply
    14,263.53x = 19,684.32 × 7,975.89
  4. Step 4: Simplify right side
    14,263.53x = 156,999,971.04
  5. Step 5: Solve for x
    x = 156,999,971.04/14,263.53
  6. Step 6: Final answer
    x = 11,007.09

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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.