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Finding the Fourth Proportional to 14,023.37, 19,346.11 and 8,916.15

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Solution

The fourth proportional to 14,023.37, 19,346.11 and 8,916.15 is: 12,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.37 : 19,346.11 = 8,916.15 : x
  2. Step 2: Convert to fraction form
    14,023.37/19,346.11 = 8,916.15/x
  3. Step 3: Cross multiply
    14,023.37x = 19,346.11 × 8,916.15
  4. Step 4: Simplify right side
    14,023.37x = 172,492,818.68
  5. Step 5: Solve for x
    x = 172,492,818.68/14,023.37
  6. Step 6: Final answer
    x = 12,300.38

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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.