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Finding the Fourth Proportional to 21,817.40, 30,104.98 and 12,384.14

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Solution

The fourth proportional to 21,817.40, 30,104.98 and 12,384.14 is: 17,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.40 : 30,104.98 = 12,384.14 : x
  2. Step 2: Convert to fraction form
    21,817.40/30,104.98 = 12,384.14/x
  3. Step 3: Cross multiply
    21,817.40x = 30,104.98 × 12,384.14
  4. Step 4: Simplify right side
    21,817.40x = 372,824,287.02
  5. Step 5: Solve for x
    x = 372,824,287.02/21,817.40
  6. Step 6: Final answer
    x = 17,088.39

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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.