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Finding the Fourth Proportional to 14,270.68, 19,700.42 and 9,498.57

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Solution

The fourth proportional to 14,270.68, 19,700.42 and 9,498.57 is: 13,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.68 : 19,700.42 = 9,498.57 : x
  2. Step 2: Convert to fraction form
    14,270.68/19,700.42 = 9,498.57/x
  3. Step 3: Cross multiply
    14,270.68x = 19,700.42 × 9,498.57
  4. Step 4: Simplify right side
    14,270.68x = 187,125,697.03
  5. Step 5: Solve for x
    x = 187,125,697.03/14,270.68
  6. Step 6: Final answer
    x = 13,112.60

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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.