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Finding the Fourth Proportional to 19,549.76, 26,966.52 and 11,586.38

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Solution

The fourth proportional to 19,549.76, 26,966.52 and 11,586.38 is: 15,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.76 : 26,966.52 = 11,586.38 : x
  2. Step 2: Convert to fraction form
    19,549.76/26,966.52 = 11,586.38/x
  3. Step 3: Cross multiply
    19,549.76x = 26,966.52 × 11,586.38
  4. Step 4: Simplify right side
    19,549.76x = 312,444,213.17
  5. Step 5: Solve for x
    x = 312,444,213.17/19,549.76
  6. Step 6: Final answer
    x = 15,982.00

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Why These Related Problems?

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