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Finding the Fourth Proportional to 22,430.40, 30,952.14 and 12,999.56

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Solution

The fourth proportional to 22,430.40, 30,952.14 and 12,999.56 is: 17,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.40 : 30,952.14 = 12,999.56 : x
  2. Step 2: Convert to fraction form
    22,430.40/30,952.14 = 12,999.56/x
  3. Step 3: Cross multiply
    22,430.40x = 30,952.14 × 12,999.56
  4. Step 4: Simplify right side
    22,430.40x = 402,364,201.06
  5. Step 5: Solve for x
    x = 402,364,201.06/22,430.40
  6. Step 6: Final answer
    x = 17,938.34

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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.