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Finding the Fourth Proportional to 17,703.50, 24,430.98 and 9,745.88

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Solution

The fourth proportional to 17,703.50, 24,430.98 and 9,745.88 is: 13,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.50 : 24,430.98 = 9,745.88 : x
  2. Step 2: Convert to fraction form
    17,703.50/24,430.98 = 9,745.88/x
  3. Step 3: Cross multiply
    17,703.50x = 24,430.98 × 9,745.88
  4. Step 4: Simplify right side
    17,703.50x = 238,101,277.21
  5. Step 5: Solve for x
    x = 238,101,277.21/17,703.50
  6. Step 6: Final answer
    x = 13,449.39

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1.5x scale

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.