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Finding the Fourth Proportional to 14,777.84, 20,396.76 and 10,064

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Solution

The fourth proportional to 14,777.84, 20,396.76 and 10,064 is: 13,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.84 : 20,396.76 = 10,064 : x
  2. Step 2: Convert to fraction form
    14,777.84/20,396.76 = 10,064/x
  3. Step 3: Cross multiply
    14,777.84x = 20,396.76 × 10,064
  4. Step 4: Simplify right side
    14,777.84x = 205,272,992.64
  5. Step 5: Solve for x
    x = 205,272,992.64/14,777.84
  6. Step 6: Final answer
    x = 13,890.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.