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Finding the Fourth Proportional to 13,407.40, 18,503.32 and 7,439.68

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Solution

The fourth proportional to 13,407.40, 18,503.32 and 7,439.68 is: 10,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.40 : 18,503.32 = 7,439.68 : x
  2. Step 2: Convert to fraction form
    13,407.40/18,503.32 = 7,439.68/x
  3. Step 3: Cross multiply
    13,407.40x = 18,503.32 × 7,439.68
  4. Step 4: Simplify right side
    13,407.40x = 137,658,779.74
  5. Step 5: Solve for x
    x = 137,658,779.74/13,407.40
  6. Step 6: Final answer
    x = 10,267.37

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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.