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Finding the Fourth Proportional to 12,962.54, 17,890.05 and 7,298.42

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Solution

The fourth proportional to 12,962.54, 17,890.05 and 7,298.42 is: 10,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.54 : 17,890.05 = 7,298.42 : x
  2. Step 2: Convert to fraction form
    12,962.54/17,890.05 = 7,298.42/x
  3. Step 3: Cross multiply
    12,962.54x = 17,890.05 × 7,298.42
  4. Step 4: Simplify right side
    12,962.54x = 130,569,036.64
  5. Step 5: Solve for x
    x = 130,569,036.64/12,962.54
  6. Step 6: Final answer
    x = 10,072.80

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