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Finding the Fourth Proportional to 21,830.28, 30,127.02 and 12,883.08

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Solution

The fourth proportional to 21,830.28, 30,127.02 and 12,883.08 is: 17,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.28 : 30,127.02 = 12,883.08 : x
  2. Step 2: Convert to fraction form
    21,830.28/30,127.02 = 12,883.08/x
  3. Step 3: Cross multiply
    21,830.28x = 30,127.02 × 12,883.08
  4. Step 4: Simplify right side
    21,830.28x = 388,128,808.82
  5. Step 5: Solve for x
    x = 388,128,808.82/21,830.28
  6. Step 6: Final answer
    x = 17,779.38

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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.