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Finding the Fourth Proportional to 17,784.93, 24,543.03 and 9,827.16

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Solution

The fourth proportional to 17,784.93, 24,543.03 and 9,827.16 is: 13,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.93 : 24,543.03 = 9,827.16 : x
  2. Step 2: Convert to fraction form
    17,784.93/24,543.03 = 9,827.16/x
  3. Step 3: Cross multiply
    17,784.93x = 24,543.03 × 9,827.16
  4. Step 4: Simplify right side
    17,784.93x = 241,188,227.51
  5. Step 5: Solve for x
    x = 241,188,227.51/17,784.93
  6. Step 6: Final answer
    x = 13,561.38

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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.