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Finding the Fourth Proportional to 21,159.52, 31,553 and 19,682.08

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Solution

The fourth proportional to 21,159.52, 31,553 and 19,682.08 is: 29,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.52 : 31,553 = 19,682.08 : x
  2. Step 2: Convert to fraction form
    21,159.52/31,553 = 19,682.08/x
  3. Step 3: Cross multiply
    21,159.52x = 31,553 × 19,682.08
  4. Step 4: Simplify right side
    21,159.52x = 621,028,670.24
  5. Step 5: Solve for x
    x = 621,028,670.24/21,159.52
  6. Step 6: Final answer
    x = 29,349.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.