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Finding the Fourth Proportional to 21,830.43, 30,126.93 and 12,399

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Solution

The fourth proportional to 21,830.43, 30,126.93 and 12,399 is: 17,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.43 : 30,126.93 = 12,399 : x
  2. Step 2: Convert to fraction form
    21,830.43/30,126.93 = 12,399/x
  3. Step 3: Cross multiply
    21,830.43x = 30,126.93 × 12,399
  4. Step 4: Simplify right side
    21,830.43x = 373,543,805.07
  5. Step 5: Solve for x
    x = 373,543,805.07/21,830.43
  6. Step 6: Final answer
    x = 17,111.15

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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.