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Finding the Fourth Proportional to 14,465.84, 19,966.50 and 8,181.86

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Solution

The fourth proportional to 14,465.84, 19,966.50 and 8,181.86 is: 11,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.84 : 19,966.50 = 8,181.86 : x
  2. Step 2: Convert to fraction form
    14,465.84/19,966.50 = 8,181.86/x
  3. Step 3: Cross multiply
    14,465.84x = 19,966.50 × 8,181.86
  4. Step 4: Simplify right side
    14,465.84x = 163,363,007.86
  5. Step 5: Solve for x
    x = 163,363,007.86/14,465.84
  6. Step 6: Final answer
    x = 11,293.02

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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.