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Finding the Fourth Proportional to 34,395.40, 51,598.50 and 14,674

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Solution

The fourth proportional to 34,395.40, 51,598.50 and 14,674 is: 22,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,395.40 : 51,598.50 = 14,674 : x
  2. Step 2: Convert to fraction form
    34,395.40/51,598.50 = 14,674/x
  3. Step 3: Cross multiply
    34,395.40x = 51,598.50 × 14,674
  4. Step 4: Simplify right side
    34,395.40x = 757,156,389
  5. Step 5: Solve for x
    x = 757,156,389/34,395.40
  6. Step 6: Final answer
    x = 22,013.30

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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.