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Finding the Fourth Proportional to 14,448.80, 19,938.38 and 8,159.96

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Solution

The fourth proportional to 14,448.80, 19,938.38 and 8,159.96 is: 11,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.80 : 19,938.38 = 8,159.96 : x
  2. Step 2: Convert to fraction form
    14,448.80/19,938.38 = 8,159.96/x
  3. Step 3: Cross multiply
    14,448.80x = 19,938.38 × 8,159.96
  4. Step 4: Simplify right side
    14,448.80x = 162,696,242.77
  5. Step 5: Solve for x
    x = 162,696,242.77/14,448.80
  6. Step 6: Final answer
    x = 11,260.19

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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.