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Finding the Fourth Proportional to 14,652.02, 21,978.02 and 10,288.95

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Solution

The fourth proportional to 14,652.02, 21,978.02 and 10,288.95 is: 15,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.02 : 21,978.02 = 10,288.95 : x
  2. Step 2: Convert to fraction form
    14,652.02/21,978.02 = 10,288.95/x
  3. Step 3: Cross multiply
    14,652.02x = 21,978.02 × 10,288.95
  4. Step 4: Simplify right side
    14,652.02x = 226,130,697.43
  5. Step 5: Solve for x
    x = 226,130,697.43/14,652.02
  6. Step 6: Final answer
    x = 15,433.42

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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.