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Finding the Fourth Proportional to 21,564, 29,748.24 and 14,392

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Solution

The fourth proportional to 21,564, 29,748.24 and 14,392 is: 19,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564 : 29,748.24 = 14,392 : x
  2. Step 2: Convert to fraction form
    21,564/29,748.24 = 14,392/x
  3. Step 3: Cross multiply
    21,564x = 29,748.24 × 14,392
  4. Step 4: Simplify right side
    21,564x = 428,136,670.08
  5. Step 5: Solve for x
    x = 428,136,670.08/21,564
  6. Step 6: Final answer
    x = 19,854.23

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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.