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Finding the Fourth Proportional to 14,547.09, 21,823.88 and 7,969.89

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Solution

The fourth proportional to 14,547.09, 21,823.88 and 7,969.89 is: 11,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.09 : 21,823.88 = 7,969.89 : x
  2. Step 2: Convert to fraction form
    14,547.09/21,823.88 = 7,969.89/x
  3. Step 3: Cross multiply
    14,547.09x = 21,823.88 × 7,969.89
  4. Step 4: Simplify right side
    14,547.09x = 173,933,883.12
  5. Step 5: Solve for x
    x = 173,933,883.12/14,547.09
  6. Step 6: Final answer
    x = 11,956.61

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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.