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Finding the Fourth Proportional to 10,355.40, 14,293.67 and 9,826.34

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Solution

The fourth proportional to 10,355.40, 14,293.67 and 9,826.34 is: 13,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.40 : 14,293.67 = 9,826.34 : x
  2. Step 2: Convert to fraction form
    10,355.40/14,293.67 = 9,826.34/x
  3. Step 3: Cross multiply
    10,355.40x = 14,293.67 × 9,826.34
  4. Step 4: Simplify right side
    10,355.40x = 140,454,340.67
  5. Step 5: Solve for x
    x = 140,454,340.67/10,355.40
  6. Step 6: Final answer
    x = 13,563.39

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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.