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Finding the Fourth Proportional to 15,384.65, 23,077.58 and 7,984.35

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Solution

The fourth proportional to 15,384.65, 23,077.58 and 7,984.35 is: 11,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.65 : 23,077.58 = 7,984.35 : x
  2. Step 2: Convert to fraction form
    15,384.65/23,077.58 = 7,984.35/x
  3. Step 3: Cross multiply
    15,384.65x = 23,077.58 × 7,984.35
  4. Step 4: Simplify right side
    15,384.65x = 184,259,435.95
  5. Step 5: Solve for x
    x = 184,259,435.95/15,384.65
  6. Step 6: Final answer
    x = 11,976.84

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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.