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Finding the Fourth Proportional to 14,475.84, 21,697.12 and 6,143.52

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Solution

The fourth proportional to 14,475.84, 21,697.12 and 6,143.52 is: 9,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.84 : 21,697.12 = 6,143.52 : x
  2. Step 2: Convert to fraction form
    14,475.84/21,697.12 = 6,143.52/x
  3. Step 3: Cross multiply
    14,475.84x = 21,697.12 × 6,143.52
  4. Step 4: Simplify right side
    14,475.84x = 133,296,690.66
  5. Step 5: Solve for x
    x = 133,296,690.66/14,475.84
  6. Step 6: Final answer
    x = 9,208.22

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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.