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Finding the Fourth Proportional to 17,854.74, 26,783.37 and 4,707

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Solution

The fourth proportional to 17,854.74, 26,783.37 and 4,707 is: 7,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.74 : 26,783.37 = 4,707 : x
  2. Step 2: Convert to fraction form
    17,854.74/26,783.37 = 4,707/x
  3. Step 3: Cross multiply
    17,854.74x = 26,783.37 × 4,707
  4. Step 4: Simplify right side
    17,854.74x = 126,069,322.59
  5. Step 5: Solve for x
    x = 126,069,322.59/17,854.74
  6. Step 6: Final answer
    x = 7,060.83

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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.