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Finding the Fourth Proportional to 14,464.53, 21,703.59 and 6,146.55

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Solution

The fourth proportional to 14,464.53, 21,703.59 and 6,146.55 is: 9,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.53 : 21,703.59 = 6,146.55 : x
  2. Step 2: Convert to fraction form
    14,464.53/21,703.59 = 6,146.55/x
  3. Step 3: Cross multiply
    14,464.53x = 21,703.59 × 6,146.55
  4. Step 4: Simplify right side
    14,464.53x = 133,402,201.11
  5. Step 5: Solve for x
    x = 133,402,201.11/14,464.53
  6. Step 6: Final answer
    x = 9,222.71

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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.