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Finding the Fourth Proportional to 12,446.16, 18,670.96 and 4,547.64

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Solution

The fourth proportional to 12,446.16, 18,670.96 and 4,547.64 is: 6,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.16 : 18,670.96 = 4,547.64 : x
  2. Step 2: Convert to fraction form
    12,446.16/18,670.96 = 4,547.64/x
  3. Step 3: Cross multiply
    12,446.16x = 18,670.96 × 4,547.64
  4. Step 4: Simplify right side
    12,446.16x = 84,908,804.53
  5. Step 5: Solve for x
    x = 84,908,804.53/12,446.16
  6. Step 6: Final answer
    x = 6,822.09

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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.