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Finding the Fourth Proportional to 19,657.16, 29,416.49 and 12,265.10

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Solution

The fourth proportional to 19,657.16, 29,416.49 and 12,265.10 is: 18,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.16 : 29,416.49 = 12,265.10 : x
  2. Step 2: Convert to fraction form
    19,657.16/29,416.49 = 12,265.10/x
  3. Step 3: Cross multiply
    19,657.16x = 29,416.49 × 12,265.10
  4. Step 4: Simplify right side
    19,657.16x = 360,796,191.50
  5. Step 5: Solve for x
    x = 360,796,191.50/19,657.16
  6. Step 6: Final answer
    x = 18,354.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.