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Finding the Fourth Proportional to 19,580.72, 29,297.46 and 11,654

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Solution

The fourth proportional to 19,580.72, 29,297.46 and 11,654 is: 17,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.72 : 29,297.46 = 11,654 : x
  2. Step 2: Convert to fraction form
    19,580.72/29,297.46 = 11,654/x
  3. Step 3: Cross multiply
    19,580.72x = 29,297.46 × 11,654
  4. Step 4: Simplify right side
    19,580.72x = 341,432,598.84
  5. Step 5: Solve for x
    x = 341,432,598.84/19,580.72
  6. Step 6: Final answer
    x = 17,437.18

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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.