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Finding the Fourth Proportional to 15,826.23, 21,842.46 and 9,859.77

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Solution

The fourth proportional to 15,826.23, 21,842.46 and 9,859.77 is: 13,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.23 : 21,842.46 = 9,859.77 : x
  2. Step 2: Convert to fraction form
    15,826.23/21,842.46 = 9,859.77/x
  3. Step 3: Cross multiply
    15,826.23x = 21,842.46 × 9,859.77
  4. Step 4: Simplify right side
    15,826.23x = 215,361,631.83
  5. Step 5: Solve for x
    x = 215,361,631.83/15,826.23
  6. Step 6: Final answer
    x = 13,607.89

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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.