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Finding the Fourth Proportional to 12,995.12, 19,484.04 and 7,154.48

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Solution

The fourth proportional to 12,995.12, 19,484.04 and 7,154.48 is: 10,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.12 : 19,484.04 = 7,154.48 : x
  2. Step 2: Convert to fraction form
    12,995.12/19,484.04 = 7,154.48/x
  3. Step 3: Cross multiply
    12,995.12x = 19,484.04 × 7,154.48
  4. Step 4: Simplify right side
    12,995.12x = 139,398,174.50
  5. Step 5: Solve for x
    x = 139,398,174.50/12,995.12
  6. Step 6: Final answer
    x = 10,726.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.