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Finding the Fourth Proportional to 14,157.11, 19,537.03 and 7,783.97

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Solution

The fourth proportional to 14,157.11, 19,537.03 and 7,783.97 is: 10,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.11 : 19,537.03 = 7,783.97 : x
  2. Step 2: Convert to fraction form
    14,157.11/19,537.03 = 7,783.97/x
  3. Step 3: Cross multiply
    14,157.11x = 19,537.03 × 7,783.97
  4. Step 4: Simplify right side
    14,157.11x = 152,075,655.41
  5. Step 5: Solve for x
    x = 152,075,655.41/14,157.11
  6. Step 6: Final answer
    x = 10,742.00

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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.