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Finding the Fourth Proportional to 19,574.85, 29,337.67 and 14,039

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Solution

The fourth proportional to 19,574.85, 29,337.67 and 14,039 is: 21,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.85 : 29,337.67 = 14,039 : x
  2. Step 2: Convert to fraction form
    19,574.85/29,337.67 = 14,039/x
  3. Step 3: Cross multiply
    19,574.85x = 29,337.67 × 14,039
  4. Step 4: Simplify right side
    19,574.85x = 411,871,549.13
  5. Step 5: Solve for x
    x = 411,871,549.13/19,574.85
  6. Step 6: Final answer
    x = 21,040.85

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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.