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Finding the Fourth Proportional to 13,005, 17,946.90 and 7,416

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Solution

The fourth proportional to 13,005, 17,946.90 and 7,416 is: 10,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005 : 17,946.90 = 7,416 : x
  2. Step 2: Convert to fraction form
    13,005/17,946.90 = 7,416/x
  3. Step 3: Cross multiply
    13,005x = 17,946.90 × 7,416
  4. Step 4: Simplify right side
    13,005x = 133,094,210.40
  5. Step 5: Solve for x
    x = 133,094,210.40/13,005
  6. Step 6: Final answer
    x = 10,234.08

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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.