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Finding the Fourth Proportional to 14,465.10, 19,969.71 and 9,432.39

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Solution

The fourth proportional to 14,465.10, 19,969.71 and 9,432.39 is: 13,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.10 : 19,969.71 = 9,432.39 : x
  2. Step 2: Convert to fraction form
    14,465.10/19,969.71 = 9,432.39/x
  3. Step 3: Cross multiply
    14,465.10x = 19,969.71 × 9,432.39
  4. Step 4: Simplify right side
    14,465.10x = 188,362,092.91
  5. Step 5: Solve for x
    x = 188,362,092.91/14,465.10
  6. Step 6: Final answer
    x = 13,021.83

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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.