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Finding the Fourth Proportional to 21,678.29, 29,907.18 and 17,184

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Solution

The fourth proportional to 21,678.29, 29,907.18 and 17,184 is: 23,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.29 : 29,907.18 = 17,184 : x
  2. Step 2: Convert to fraction form
    21,678.29/29,907.18 = 17,184/x
  3. Step 3: Cross multiply
    21,678.29x = 29,907.18 × 17,184
  4. Step 4: Simplify right side
    21,678.29x = 513,924,981.12
  5. Step 5: Solve for x
    x = 513,924,981.12/21,678.29
  6. Step 6: Final answer
    x = 23,706.90

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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.