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Finding the Fourth Proportional to 17,629.61, 24,328.06 and 9,671.67

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Solution

The fourth proportional to 17,629.61, 24,328.06 and 9,671.67 is: 13,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629.61 : 24,328.06 = 9,671.67 : x
  2. Step 2: Convert to fraction form
    17,629.61/24,328.06 = 9,671.67/x
  3. Step 3: Cross multiply
    17,629.61x = 24,328.06 × 9,671.67
  4. Step 4: Simplify right side
    17,629.61x = 235,292,968.06
  5. Step 5: Solve for x
    x = 235,292,968.06/17,629.61
  6. Step 6: Final answer
    x = 13,346.46

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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.