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Finding the Fourth Proportional to 17,065.44, 23,547.60 and 9,612

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Solution

The fourth proportional to 17,065.44, 23,547.60 and 9,612 is: 13,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.44 : 23,547.60 = 9,612 : x
  2. Step 2: Convert to fraction form
    17,065.44/23,547.60 = 9,612/x
  3. Step 3: Cross multiply
    17,065.44x = 23,547.60 × 9,612
  4. Step 4: Simplify right side
    17,065.44x = 226,339,531.20
  5. Step 5: Solve for x
    x = 226,339,531.20/17,065.44
  6. Step 6: Final answer
    x = 13,263.04

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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.