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Finding the Fourth Proportional to 14,842.85, 22,258.80 and 12,519.23

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Solution

The fourth proportional to 14,842.85, 22,258.80 and 12,519.23 is: 18,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.85 : 22,258.80 = 12,519.23 : x
  2. Step 2: Convert to fraction form
    14,842.85/22,258.80 = 12,519.23/x
  3. Step 3: Cross multiply
    14,842.85x = 22,258.80 × 12,519.23
  4. Step 4: Simplify right side
    14,842.85x = 278,662,925.43
  5. Step 5: Solve for x
    x = 278,662,925.43/14,842.85
  6. Step 6: Final answer
    x = 18,774.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.