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Finding the Fourth Proportional to 17,742.86, 24,485.16 and 9,784.88

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Solution

The fourth proportional to 17,742.86, 24,485.16 and 9,784.88 is: 13,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.86 : 24,485.16 = 9,784.88 : x
  2. Step 2: Convert to fraction form
    17,742.86/24,485.16 = 9,784.88/x
  3. Step 3: Cross multiply
    17,742.86x = 24,485.16 × 9,784.88
  4. Step 4: Simplify right side
    17,742.86x = 239,584,352.38
  5. Step 5: Solve for x
    x = 239,584,352.38/17,742.86
  6. Step 6: Final answer
    x = 13,503.14

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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.