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Finding the Fourth Proportional to 21,398.10, 29,536.80 and 14,705.88

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Solution

The fourth proportional to 21,398.10, 29,536.80 and 14,705.88 is: 20,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.10 : 29,536.80 = 14,705.88 : x
  2. Step 2: Convert to fraction form
    21,398.10/29,536.80 = 14,705.88/x
  3. Step 3: Cross multiply
    21,398.10x = 29,536.80 × 14,705.88
  4. Step 4: Simplify right side
    21,398.10x = 434,364,636.38
  5. Step 5: Solve for x
    x = 434,364,636.38/21,398.10
  6. Step 6: Final answer
    x = 20,299.22

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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.