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Finding the Fourth Proportional to 12,285.84, 18,424.08 and 4,386.88

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Solution

The fourth proportional to 12,285.84, 18,424.08 and 4,386.88 is: 6,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.84 : 18,424.08 = 4,386.88 : x
  2. Step 2: Convert to fraction form
    12,285.84/18,424.08 = 4,386.88/x
  3. Step 3: Cross multiply
    12,285.84x = 18,424.08 × 4,386.88
  4. Step 4: Simplify right side
    12,285.84x = 80,824,315.26
  5. Step 5: Solve for x
    x = 80,824,315.26/12,285.84
  6. Step 6: Final answer
    x = 6,578.66

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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.