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Finding the Fourth Proportional to 17,623.80, 24,308.10 and 14,967

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Solution

The fourth proportional to 17,623.80, 24,308.10 and 14,967 is: 20,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.80 : 24,308.10 = 14,967 : x
  2. Step 2: Convert to fraction form
    17,623.80/24,308.10 = 14,967/x
  3. Step 3: Cross multiply
    17,623.80x = 24,308.10 × 14,967
  4. Step 4: Simplify right side
    17,623.80x = 363,819,332.70
  5. Step 5: Solve for x
    x = 363,819,332.70/17,623.80
  6. Step 6: Final answer
    x = 20,643.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.