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Finding the Fourth Proportional to 28,974.84, 43,461.90 and 9,253.14

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Solution

The fourth proportional to 28,974.84, 43,461.90 and 9,253.14 is: 13,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,974.84 : 43,461.90 = 9,253.14 : x
  2. Step 2: Convert to fraction form
    28,974.84/43,461.90 = 9,253.14/x
  3. Step 3: Cross multiply
    28,974.84x = 43,461.90 × 9,253.14
  4. Step 4: Simplify right side
    28,974.84x = 402,159,045.37
  5. Step 5: Solve for x
    x = 402,159,045.37/28,974.84
  6. Step 6: Final answer
    x = 13,879.60

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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.