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Finding the Fourth Proportional to 14,075.96, 19,423.86 and 7,788.56

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Solution

The fourth proportional to 14,075.96, 19,423.86 and 7,788.56 is: 10,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.96 : 19,423.86 = 7,788.56 : x
  2. Step 2: Convert to fraction form
    14,075.96/19,423.86 = 7,788.56/x
  3. Step 3: Cross multiply
    14,075.96x = 19,423.86 × 7,788.56
  4. Step 4: Simplify right side
    14,075.96x = 151,283,899.04
  5. Step 5: Solve for x
    x = 151,283,899.04/14,075.96
  6. Step 6: Final answer
    x = 10,747.68

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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.