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Finding the Fourth Proportional to 14,270.86, 19,698.36 and 8,301.40

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Solution

The fourth proportional to 14,270.86, 19,698.36 and 8,301.40 is: 11,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.86 : 19,698.36 = 8,301.40 : x
  2. Step 2: Convert to fraction form
    14,270.86/19,698.36 = 8,301.40/x
  3. Step 3: Cross multiply
    14,270.86x = 19,698.36 × 8,301.40
  4. Step 4: Simplify right side
    14,270.86x = 163,523,965.70
  5. Step 5: Solve for x
    x = 163,523,965.70/14,270.86
  6. Step 6: Final answer
    x = 11,458.59

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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.