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Finding the Fourth Proportional to 24,358, 33,614.04 and 13,180

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Solution

The fourth proportional to 24,358, 33,614.04 and 13,180 is: 18,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358 : 33,614.04 = 13,180 : x
  2. Step 2: Convert to fraction form
    24,358/33,614.04 = 13,180/x
  3. Step 3: Cross multiply
    24,358x = 33,614.04 × 13,180
  4. Step 4: Simplify right side
    24,358x = 443,033,047.20
  5. Step 5: Solve for x
    x = 443,033,047.20/24,358
  6. Step 6: Final answer
    x = 18,188.40

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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.