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Finding the Fourth Proportional to 14,978.64, 22,493.02 and 14,382.66

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Solution

The fourth proportional to 14,978.64, 22,493.02 and 14,382.66 is: 21,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.64 : 22,493.02 = 14,382.66 : x
  2. Step 2: Convert to fraction form
    14,978.64/22,493.02 = 14,382.66/x
  3. Step 3: Cross multiply
    14,978.64x = 22,493.02 × 14,382.66
  4. Step 4: Simplify right side
    14,978.64x = 323,509,459.03
  5. Step 5: Solve for x
    x = 323,509,459.03/14,978.64
  6. Step 6: Final answer
    x = 21,598.05

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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.