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Finding the Fourth Proportional to 19,513.86, 29,276.27 and 7,835.28

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Solution

The fourth proportional to 19,513.86, 29,276.27 and 7,835.28 is: 11,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.86 : 29,276.27 = 7,835.28 : x
  2. Step 2: Convert to fraction form
    19,513.86/29,276.27 = 7,835.28/x
  3. Step 3: Cross multiply
    19,513.86x = 29,276.27 × 7,835.28
  4. Step 4: Simplify right side
    19,513.86x = 229,387,733.63
  5. Step 5: Solve for x
    x = 229,387,733.63/19,513.86
  6. Step 6: Final answer
    x = 11,755.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.