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Finding the Fourth Proportional to 12,334.40, 17,020.32 and 7,030.40

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Solution

The fourth proportional to 12,334.40, 17,020.32 and 7,030.40 is: 9,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.40 : 17,020.32 = 7,030.40 : x
  2. Step 2: Convert to fraction form
    12,334.40/17,020.32 = 7,030.40/x
  3. Step 3: Cross multiply
    12,334.40x = 17,020.32 × 7,030.40
  4. Step 4: Simplify right side
    12,334.40x = 119,659,657.73
  5. Step 5: Solve for x
    x = 119,659,657.73/12,334.40
  6. Step 6: Final answer
    x = 9,701.30

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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.