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Finding the Fourth Proportional to 20,623.84, 30,924.64 and 6,580

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Solution

The fourth proportional to 20,623.84, 30,924.64 and 6,580 is: 9,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,623.84 : 30,924.64 = 6,580 : x
  2. Step 2: Convert to fraction form
    20,623.84/30,924.64 = 6,580/x
  3. Step 3: Cross multiply
    20,623.84x = 30,924.64 × 6,580
  4. Step 4: Simplify right side
    20,623.84x = 203,484,131.20
  5. Step 5: Solve for x
    x = 203,484,131.20/20,623.84
  6. Step 6: Final answer
    x = 9,866.45

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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.