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Finding the Fourth Proportional to 17,329, 23,916.36 and 9,776.88

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Solution

The fourth proportional to 17,329, 23,916.36 and 9,776.88 is: 13,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329 : 23,916.36 = 9,776.88 : x
  2. Step 2: Convert to fraction form
    17,329/23,916.36 = 9,776.88/x
  3. Step 3: Cross multiply
    17,329x = 23,916.36 × 9,776.88
  4. Step 4: Simplify right side
    17,329x = 233,827,381.76
  5. Step 5: Solve for x
    x = 233,827,381.76/17,329
  6. Step 6: Final answer
    x = 13,493.41

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1.5x scale

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.