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Finding the Fourth Proportional to 14,465.57, 19,966.16 and 8,181.59

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Solution

The fourth proportional to 14,465.57, 19,966.16 and 8,181.59 is: 11,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.57 : 19,966.16 = 8,181.59 : x
  2. Step 2: Convert to fraction form
    14,465.57/19,966.16 = 8,181.59/x
  3. Step 3: Cross multiply
    14,465.57x = 19,966.16 × 8,181.59
  4. Step 4: Simplify right side
    14,465.57x = 163,354,894.09
  5. Step 5: Solve for x
    x = 163,354,894.09/14,465.57
  6. Step 6: Final answer
    x = 11,292.67

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