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Finding the Fourth Proportional to 21,347.40, 29,470.14 and 14,645.40

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Solution

The fourth proportional to 21,347.40, 29,470.14 and 14,645.40 is: 20,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.40 : 29,470.14 = 14,645.40 : x
  2. Step 2: Convert to fraction form
    21,347.40/29,470.14 = 14,645.40/x
  3. Step 3: Cross multiply
    21,347.40x = 29,470.14 × 14,645.40
  4. Step 4: Simplify right side
    21,347.40x = 431,601,988.36
  5. Step 5: Solve for x
    x = 431,601,988.36/21,347.40
  6. Step 6: Final answer
    x = 20,218.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.