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Finding the Fourth Proportional to 14,904, 22,357.62 and 5,670

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Solution

The fourth proportional to 14,904, 22,357.62 and 5,670 is: 8,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 22,357.62 = 5,670 : x
  2. Step 2: Convert to fraction form
    14,904/22,357.62 = 5,670/x
  3. Step 3: Cross multiply
    14,904x = 22,357.62 × 5,670
  4. Step 4: Simplify right side
    14,904x = 126,767,705.40
  5. Step 5: Solve for x
    x = 126,767,705.40/14,904
  6. Step 6: Final answer
    x = 8,505.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.