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Finding the Fourth Proportional to 16,988, 23,443.44 and 9,536

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Solution

The fourth proportional to 16,988, 23,443.44 and 9,536 is: 13,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,988 : 23,443.44 = 9,536 : x
  2. Step 2: Convert to fraction form
    16,988/23,443.44 = 9,536/x
  3. Step 3: Cross multiply
    16,988x = 23,443.44 × 9,536
  4. Step 4: Simplify right side
    16,988x = 223,556,643.84
  5. Step 5: Solve for x
    x = 223,556,643.84/16,988
  6. Step 6: Final answer
    x = 13,159.68

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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.