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Finding the Fourth Proportional to 12,830.27, 17,713.86 and 9,840.35

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Solution

The fourth proportional to 12,830.27, 17,713.86 and 9,840.35 is: 13,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.27 : 17,713.86 = 9,840.35 : x
  2. Step 2: Convert to fraction form
    12,830.27/17,713.86 = 9,840.35/x
  3. Step 3: Cross multiply
    12,830.27x = 17,713.86 × 9,840.35
  4. Step 4: Simplify right side
    12,830.27x = 174,310,582.25
  5. Step 5: Solve for x
    x = 174,310,582.25/12,830.27
  6. Step 6: Final answer
    x = 13,585.89

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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.