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Finding the Fourth Proportional to 12,475.66, 18,699.32 and 4,153.72

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Solution

The fourth proportional to 12,475.66, 18,699.32 and 4,153.72 is: 6,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.66 : 18,699.32 = 4,153.72 : x
  2. Step 2: Convert to fraction form
    12,475.66/18,699.32 = 4,153.72/x
  3. Step 3: Cross multiply
    12,475.66x = 18,699.32 × 4,153.72
  4. Step 4: Simplify right side
    12,475.66x = 77,671,739.47
  5. Step 5: Solve for x
    x = 77,671,739.47/12,475.66
  6. Step 6: Final answer
    x = 6,225.86

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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.