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Finding the Fourth Proportional to 12,598.18, 18,871.35 and 7,391.50

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Solution

The fourth proportional to 12,598.18, 18,871.35 and 7,391.50 is: 11,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.18 : 18,871.35 = 7,391.50 : x
  2. Step 2: Convert to fraction form
    12,598.18/18,871.35 = 7,391.50/x
  3. Step 3: Cross multiply
    12,598.18x = 18,871.35 × 7,391.50
  4. Step 4: Simplify right side
    12,598.18x = 139,487,583.53
  5. Step 5: Solve for x
    x = 139,487,583.53/12,598.18
  6. Step 6: Final answer
    x = 11,072.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.