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Finding the Fourth Proportional to 13,565.58, 18,721.53 and 7,823.96

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Solution

The fourth proportional to 13,565.58, 18,721.53 and 7,823.96 is: 10,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.58 : 18,721.53 = 7,823.96 : x
  2. Step 2: Convert to fraction form
    13,565.58/18,721.53 = 7,823.96/x
  3. Step 3: Cross multiply
    13,565.58x = 18,721.53 × 7,823.96
  4. Step 4: Simplify right side
    13,565.58x = 146,476,548.66
  5. Step 5: Solve for x
    x = 146,476,548.66/13,565.58
  6. Step 6: Final answer
    x = 10,797.66

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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.