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Finding the Fourth Proportional to 13,434.68, 18,539 and 7,465.96

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Solution

The fourth proportional to 13,434.68, 18,539 and 7,465.96 is: 10,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.68 : 18,539 = 7,465.96 : x
  2. Step 2: Convert to fraction form
    13,434.68/18,539 = 7,465.96/x
  3. Step 3: Cross multiply
    13,434.68x = 18,539 × 7,465.96
  4. Step 4: Simplify right side
    13,434.68x = 138,411,432.44
  5. Step 5: Solve for x
    x = 138,411,432.44/13,434.68
  6. Step 6: Final answer
    x = 10,302.55

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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.