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Finding the Fourth Proportional to 14,048.46, 19,386 and 7,760.84

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Solution

The fourth proportional to 14,048.46, 19,386 and 7,760.84 is: 10,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.46 : 19,386 = 7,760.84 : x
  2. Step 2: Convert to fraction form
    14,048.46/19,386 = 7,760.84/x
  3. Step 3: Cross multiply
    14,048.46x = 19,386 × 7,760.84
  4. Step 4: Simplify right side
    14,048.46x = 150,451,547.31
  5. Step 5: Solve for x
    x = 150,451,547.31/14,048.46
  6. Step 6: Final answer
    x = 10,709.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.