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Finding the Fourth Proportional to 12,402, 17,106.28 and 7,923.78

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Solution

The fourth proportional to 12,402, 17,106.28 and 7,923.78 is: 10,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 17,106.28 = 7,923.78 : x
  2. Step 2: Convert to fraction form
    12,402/17,106.28 = 7,923.78/x
  3. Step 3: Cross multiply
    12,402x = 17,106.28 × 7,923.78
  4. Step 4: Simplify right side
    12,402x = 135,546,399.34
  5. Step 5: Solve for x
    x = 135,546,399.34/12,402
  6. Step 6: Final answer
    x = 10,929.40

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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.