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Finding the Fourth Proportional to 13,318, 18,378.84 and 7,430

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Solution

The fourth proportional to 13,318, 18,378.84 and 7,430 is: 10,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318 : 18,378.84 = 7,430 : x
  2. Step 2: Convert to fraction form
    13,318/18,378.84 = 7,430/x
  3. Step 3: Cross multiply
    13,318x = 18,378.84 × 7,430
  4. Step 4: Simplify right side
    13,318x = 136,554,781.20
  5. Step 5: Solve for x
    x = 136,554,781.20/13,318
  6. Step 6: Final answer
    x = 10,253.40

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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.