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Finding the Fourth Proportional to 14,048.16, 19,386.09 and 7,760.40

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Solution

The fourth proportional to 14,048.16, 19,386.09 and 7,760.40 is: 10,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.16 : 19,386.09 = 7,760.40 : x
  2. Step 2: Convert to fraction form
    14,048.16/19,386.09 = 7,760.40/x
  3. Step 3: Cross multiply
    14,048.16x = 19,386.09 × 7,760.40
  4. Step 4: Simplify right side
    14,048.16x = 150,443,812.84
  5. Step 5: Solve for x
    x = 150,443,812.84/14,048.16
  6. Step 6: Final answer
    x = 10,709.15

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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.