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Finding the Fourth Proportional to 13,241.20, 18,269.52 and 10,594

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Solution

The fourth proportional to 13,241.20, 18,269.52 and 10,594 is: 14,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.20 : 18,269.52 = 10,594 : x
  2. Step 2: Convert to fraction form
    13,241.20/18,269.52 = 10,594/x
  3. Step 3: Cross multiply
    13,241.20x = 18,269.52 × 10,594
  4. Step 4: Simplify right side
    13,241.20x = 193,547,294.88
  5. Step 5: Solve for x
    x = 193,547,294.88/13,241.20
  6. Step 6: Final answer
    x = 14,617.05

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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.