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Finding the Fourth Proportional to 12,140.84, 18,211.26 and 4,746.08

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Solution

The fourth proportional to 12,140.84, 18,211.26 and 4,746.08 is: 7,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.84 : 18,211.26 = 4,746.08 : x
  2. Step 2: Convert to fraction form
    12,140.84/18,211.26 = 4,746.08/x
  3. Step 3: Cross multiply
    12,140.84x = 18,211.26 × 4,746.08
  4. Step 4: Simplify right side
    12,140.84x = 86,432,096.86
  5. Step 5: Solve for x
    x = 86,432,096.86/12,140.84
  6. Step 6: Final answer
    x = 7,119.12

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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.