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Finding the Fourth Proportional to 14,706.32, 20,308.16 and 9,410.42

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Solution

The fourth proportional to 14,706.32, 20,308.16 and 9,410.42 is: 12,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.32 : 20,308.16 = 9,410.42 : x
  2. Step 2: Convert to fraction form
    14,706.32/20,308.16 = 9,410.42/x
  3. Step 3: Cross multiply
    14,706.32x = 20,308.16 × 9,410.42
  4. Step 4: Simplify right side
    14,706.32x = 191,108,389.32
  5. Step 5: Solve for x
    x = 191,108,389.32/14,706.32
  6. Step 6: Final answer
    x = 12,994.99

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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.