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Finding the Fourth Proportional to 17,765.22, 24,516.04 and 9,807.46

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Solution

The fourth proportional to 17,765.22, 24,516.04 and 9,807.46 is: 13,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.22 : 24,516.04 = 9,807.46 : x
  2. Step 2: Convert to fraction form
    17,765.22/24,516.04 = 9,807.46/x
  3. Step 3: Cross multiply
    17,765.22x = 24,516.04 × 9,807.46
  4. Step 4: Simplify right side
    17,765.22x = 240,440,081.66
  5. Step 5: Solve for x
    x = 240,440,081.66/17,765.22
  6. Step 6: Final answer
    x = 13,534.31

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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.