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Finding the Fourth Proportional to 17,328.50, 23,915.67 and 9,776.38

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Solution

The fourth proportional to 17,328.50, 23,915.67 and 9,776.38 is: 13,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328.50 : 23,915.67 = 9,776.38 : x
  2. Step 2: Convert to fraction form
    17,328.50/23,915.67 = 9,776.38/x
  3. Step 3: Cross multiply
    17,328.50x = 23,915.67 × 9,776.38
  4. Step 4: Simplify right side
    17,328.50x = 233,808,677.87
  5. Step 5: Solve for x
    x = 233,808,677.87/17,328.50
  6. Step 6: Final answer
    x = 13,492.72

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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.