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Finding the Fourth Proportional to 17,800.86, 24,564.24 and 9,842.64

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Solution

The fourth proportional to 17,800.86, 24,564.24 and 9,842.64 is: 13,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.86 : 24,564.24 = 9,842.64 : x
  2. Step 2: Convert to fraction form
    17,800.86/24,564.24 = 9,842.64/x
  3. Step 3: Cross multiply
    17,800.86x = 24,564.24 × 9,842.64
  4. Step 4: Simplify right side
    17,800.86x = 241,776,971.19
  5. Step 5: Solve for x
    x = 241,776,971.19/17,800.86
  6. Step 6: Final answer
    x = 13,582.32

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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.