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Finding the Fourth Proportional to 14,656.34, 20,204.84 and 12,106.06

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Solution

The fourth proportional to 14,656.34, 20,204.84 and 12,106.06 is: 16,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.34 : 20,204.84 = 12,106.06 : x
  2. Step 2: Convert to fraction form
    14,656.34/20,204.84 = 12,106.06/x
  3. Step 3: Cross multiply
    14,656.34x = 20,204.84 × 12,106.06
  4. Step 4: Simplify right side
    14,656.34x = 244,600,985.08
  5. Step 5: Solve for x
    x = 244,600,985.08/14,656.34
  6. Step 6: Final answer
    x = 16,689.09

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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.