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Finding the Fourth Proportional to 20,395.67, 30,598.36 and 7,916.00

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Solution

The fourth proportional to 20,395.67, 30,598.36 and 7,916.00 is: 11,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,395.67 : 30,598.36 = 7,916.00 : x
  2. Step 2: Convert to fraction form
    20,395.67/30,598.36 = 7,916.00/x
  3. Step 3: Cross multiply
    20,395.67x = 30,598.36 × 7,916.00
  4. Step 4: Simplify right side
    20,395.67x = 242,216,444.98
  5. Step 5: Solve for x
    x = 242,216,444.98/20,395.67
  6. Step 6: Final answer
    x = 11,875.88

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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.