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Finding the Fourth Proportional to 14,551.60, 21,803.10 and 12,461.80

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Solution

The fourth proportional to 14,551.60, 21,803.10 and 12,461.80 is: 18,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.60 : 21,803.10 = 12,461.80 : x
  2. Step 2: Convert to fraction form
    14,551.60/21,803.10 = 12,461.80/x
  3. Step 3: Cross multiply
    14,551.60x = 21,803.10 × 12,461.80
  4. Step 4: Simplify right side
    14,551.60x = 271,705,871.58
  5. Step 5: Solve for x
    x = 271,705,871.58/14,551.60
  6. Step 6: Final answer
    x = 18,671.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.