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Finding the Fourth Proportional to 14,788.50, 20,381.40 and 12,257.28

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Solution

The fourth proportional to 14,788.50, 20,381.40 and 12,257.28 is: 16,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.50 : 20,381.40 = 12,257.28 : x
  2. Step 2: Convert to fraction form
    14,788.50/20,381.40 = 12,257.28/x
  3. Step 3: Cross multiply
    14,788.50x = 20,381.40 × 12,257.28
  4. Step 4: Simplify right side
    14,788.50x = 249,820,526.59
  5. Step 5: Solve for x
    x = 249,820,526.59/14,788.50
  6. Step 6: Final answer
    x = 16,892.89

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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.