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Finding the Fourth Proportional to 12,923.35, 17,835.90 and 7,888.24

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Solution

The fourth proportional to 12,923.35, 17,835.90 and 7,888.24 is: 10,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.35 : 17,835.90 = 7,888.24 : x
  2. Step 2: Convert to fraction form
    12,923.35/17,835.90 = 7,888.24/x
  3. Step 3: Cross multiply
    12,923.35x = 17,835.90 × 7,888.24
  4. Step 4: Simplify right side
    12,923.35x = 140,693,752.20
  5. Step 5: Solve for x
    x = 140,693,752.20/12,923.35
  6. Step 6: Final answer
    x = 10,886.79

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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.