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Finding the Fourth Proportional to 14,047.89, 19,386.06 and 7,760.25

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Solution

The fourth proportional to 14,047.89, 19,386.06 and 7,760.25 is: 10,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.89 : 19,386.06 = 7,760.25 : x
  2. Step 2: Convert to fraction form
    14,047.89/19,386.06 = 7,760.25/x
  3. Step 3: Cross multiply
    14,047.89x = 19,386.06 × 7,760.25
  4. Step 4: Simplify right side
    14,047.89x = 150,440,672.12
  5. Step 5: Solve for x
    x = 150,440,672.12/14,047.89
  6. Step 6: Final answer
    x = 10,709.13

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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.