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Finding the Fourth Proportional to 14,825.68, 22,242.10 and 4,965

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Solution

The fourth proportional to 14,825.68, 22,242.10 and 4,965 is: 7,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.68 : 22,242.10 = 4,965 : x
  2. Step 2: Convert to fraction form
    14,825.68/22,242.10 = 4,965/x
  3. Step 3: Cross multiply
    14,825.68x = 22,242.10 × 4,965
  4. Step 4: Simplify right side
    14,825.68x = 110,432,026.50
  5. Step 5: Solve for x
    x = 110,432,026.50/14,825.68
  6. Step 6: Final answer
    x = 7,448.70

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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.