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Finding the Fourth Proportional to 11,986.23, 16,547.07 and 9,291.51

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Solution

The fourth proportional to 11,986.23, 16,547.07 and 9,291.51 is: 12,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.23 : 16,547.07 = 9,291.51 : x
  2. Step 2: Convert to fraction form
    11,986.23/16,547.07 = 9,291.51/x
  3. Step 3: Cross multiply
    11,986.23x = 16,547.07 × 9,291.51
  4. Step 4: Simplify right side
    11,986.23x = 153,747,266.38
  5. Step 5: Solve for x
    x = 153,747,266.38/11,986.23
  6. Step 6: Final answer
    x = 12,826.99

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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.