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Finding the Fourth Proportional to 17,632.50, 24,332.94 and 9,566.16

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Solution

The fourth proportional to 17,632.50, 24,332.94 and 9,566.16 is: 13,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.50 : 24,332.94 = 9,566.16 : x
  2. Step 2: Convert to fraction form
    17,632.50/24,332.94 = 9,566.16/x
  3. Step 3: Cross multiply
    17,632.50x = 24,332.94 × 9,566.16
  4. Step 4: Simplify right side
    17,632.50x = 232,772,797.31
  5. Step 5: Solve for x
    x = 232,772,797.31/17,632.50
  6. Step 6: Final answer
    x = 13,201.35

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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.