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Finding the Fourth Proportional to 14,920.64, 22,384.56 and 10,546.64

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Solution

The fourth proportional to 14,920.64, 22,384.56 and 10,546.64 is: 15,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.64 : 22,384.56 = 10,546.64 : x
  2. Step 2: Convert to fraction form
    14,920.64/22,384.56 = 10,546.64/x
  3. Step 3: Cross multiply
    14,920.64x = 22,384.56 × 10,546.64
  4. Step 4: Simplify right side
    14,920.64x = 236,081,895.88
  5. Step 5: Solve for x
    x = 236,081,895.88/14,920.64
  6. Step 6: Final answer
    x = 15,822.50

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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.