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Finding the Fourth Proportional to 14,209.96, 19,612.10 and 8,909.32

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Solution

The fourth proportional to 14,209.96, 19,612.10 and 8,909.32 is: 12,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.96 : 19,612.10 = 8,909.32 : x
  2. Step 2: Convert to fraction form
    14,209.96/19,612.10 = 8,909.32/x
  3. Step 3: Cross multiply
    14,209.96x = 19,612.10 × 8,909.32
  4. Step 4: Simplify right side
    14,209.96x = 174,730,474.77
  5. Step 5: Solve for x
    x = 174,730,474.77/14,209.96
  6. Step 6: Final answer
    x = 12,296.34

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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.