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Finding the Fourth Proportional to 14,547.25, 21,800.54 and 7,869.33

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Solution

The fourth proportional to 14,547.25, 21,800.54 and 7,869.33 is: 11,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.25 : 21,800.54 = 7,869.33 : x
  2. Step 2: Convert to fraction form
    14,547.25/21,800.54 = 7,869.33/x
  3. Step 3: Cross multiply
    14,547.25x = 21,800.54 × 7,869.33
  4. Step 4: Simplify right side
    14,547.25x = 171,555,604.09
  5. Step 5: Solve for x
    x = 171,555,604.09/14,547.25
  6. Step 6: Final answer
    x = 11,792.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.