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Finding the Fourth Proportional to 21,403.64, 29,535.41 and 11,970.38

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Solution

The fourth proportional to 21,403.64, 29,535.41 and 11,970.38 is: 16,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.64 : 29,535.41 = 11,970.38 : x
  2. Step 2: Convert to fraction form
    21,403.64/29,535.41 = 11,970.38/x
  3. Step 3: Cross multiply
    21,403.64x = 29,535.41 × 11,970.38
  4. Step 4: Simplify right side
    21,403.64x = 353,549,933.48
  5. Step 5: Solve for x
    x = 353,549,933.48/21,403.64
  6. Step 6: Final answer
    x = 16,518.22

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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.