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Finding the Fourth Proportional to 12,411.48, 18,710.21 and 11,586.63

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Solution

The fourth proportional to 12,411.48, 18,710.21 and 11,586.63 is: 17,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.48 : 18,710.21 = 11,586.63 : x
  2. Step 2: Convert to fraction form
    12,411.48/18,710.21 = 11,586.63/x
  3. Step 3: Cross multiply
    12,411.48x = 18,710.21 × 11,586.63
  4. Step 4: Simplify right side
    12,411.48x = 216,788,280.49
  5. Step 5: Solve for x
    x = 216,788,280.49/12,411.48
  6. Step 6: Final answer
    x = 17,466.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.