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Finding the Fourth Proportional to 14,532.25, 20,054.51 and 7,908.25

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Solution

The fourth proportional to 14,532.25, 20,054.51 and 7,908.25 is: 10,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.25 : 20,054.51 = 7,908.25 : x
  2. Step 2: Convert to fraction form
    14,532.25/20,054.51 = 7,908.25/x
  3. Step 3: Cross multiply
    14,532.25x = 20,054.51 × 7,908.25
  4. Step 4: Simplify right side
    14,532.25x = 158,596,078.71
  5. Step 5: Solve for x
    x = 158,596,078.71/14,532.25
  6. Step 6: Final answer
    x = 10,913.39

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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.