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Finding the Fourth Proportional to 14,365.84, 19,823.80 and 8,077

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Solution

The fourth proportional to 14,365.84, 19,823.80 and 8,077 is: 11,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.84 : 19,823.80 = 8,077 : x
  2. Step 2: Convert to fraction form
    14,365.84/19,823.80 = 8,077/x
  3. Step 3: Cross multiply
    14,365.84x = 19,823.80 × 8,077
  4. Step 4: Simplify right side
    14,365.84x = 160,116,832.60
  5. Step 5: Solve for x
    x = 160,116,832.60/14,365.84
  6. Step 6: Final answer
    x = 11,145.66

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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.