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Finding the Fourth Proportional to 14,074.50, 19,423.43 and 7,786.89

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Solution

The fourth proportional to 14,074.50, 19,423.43 and 7,786.89 is: 10,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.50 : 19,423.43 = 7,786.89 : x
  2. Step 2: Convert to fraction form
    14,074.50/19,423.43 = 7,786.89/x
  3. Step 3: Cross multiply
    14,074.50x = 19,423.43 × 7,786.89
  4. Step 4: Simplify right side
    14,074.50x = 151,248,073.90
  5. Step 5: Solve for x
    x = 151,248,073.90/14,074.50
  6. Step 6: Final answer
    x = 10,746.25

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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.