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Finding the Fourth Proportional to 14,860.02, 22,274.78 and 6,538.49

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Solution

The fourth proportional to 14,860.02, 22,274.78 and 6,538.49 is: 9,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.02 : 22,274.78 = 6,538.49 : x
  2. Step 2: Convert to fraction form
    14,860.02/22,274.78 = 6,538.49/x
  3. Step 3: Cross multiply
    14,860.02x = 22,274.78 × 6,538.49
  4. Step 4: Simplify right side
    14,860.02x = 145,643,314.91
  5. Step 5: Solve for x
    x = 145,643,314.91/14,860.02
  6. Step 6: Final answer
    x = 9,801.02

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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.