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Finding the Fourth Proportional to 14,430.81, 19,914.60 and 8,462.57

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Solution

The fourth proportional to 14,430.81, 19,914.60 and 8,462.57 is: 11,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.81 : 19,914.60 = 8,462.57 : x
  2. Step 2: Convert to fraction form
    14,430.81/19,914.60 = 8,462.57/x
  3. Step 3: Cross multiply
    14,430.81x = 19,914.60 × 8,462.57
  4. Step 4: Simplify right side
    14,430.81x = 168,528,596.95
  5. Step 5: Solve for x
    x = 168,528,596.95/14,430.81
  6. Step 6: Final answer
    x = 11,678.39

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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.