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Finding the Fourth Proportional to 17,853, 24,636.78 and 9,895.16

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Solution

The fourth proportional to 17,853, 24,636.78 and 9,895.16 is: 13,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853 : 24,636.78 = 9,895.16 : x
  2. Step 2: Convert to fraction form
    17,853/24,636.78 = 9,895.16/x
  3. Step 3: Cross multiply
    17,853x = 24,636.78 × 9,895.16
  4. Step 4: Simplify right side
    17,853x = 243,784,879.98
  5. Step 5: Solve for x
    x = 243,784,879.98/17,853
  6. Step 6: Final answer
    x = 13,655.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.