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Finding the Fourth Proportional to 13,354.71, 18,430.38 and 7,386.45

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Solution

The fourth proportional to 13,354.71, 18,430.38 and 7,386.45 is: 10,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.71 : 18,430.38 = 7,386.45 : x
  2. Step 2: Convert to fraction form
    13,354.71/18,430.38 = 7,386.45/x
  3. Step 3: Cross multiply
    13,354.71x = 18,430.38 × 7,386.45
  4. Step 4: Simplify right side
    13,354.71x = 136,135,080.35
  5. Step 5: Solve for x
    x = 136,135,080.35/13,354.71
  6. Step 6: Final answer
    x = 10,193.79

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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.