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Finding the Fourth Proportional to 17,548.93, 24,216.60 and 9,589.60

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Solution

The fourth proportional to 17,548.93, 24,216.60 and 9,589.60 is: 13,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.93 : 24,216.60 = 9,589.60 : x
  2. Step 2: Convert to fraction form
    17,548.93/24,216.60 = 9,589.60/x
  3. Step 3: Cross multiply
    17,548.93x = 24,216.60 × 9,589.60
  4. Step 4: Simplify right side
    17,548.93x = 232,227,386.28
  5. Step 5: Solve for x
    x = 232,227,386.28/17,548.93
  6. Step 6: Final answer
    x = 13,233.14

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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.