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Finding the Fourth Proportional to 12,465.10, 18,693.60 and 4,143.70

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Solution

The fourth proportional to 12,465.10, 18,693.60 and 4,143.70 is: 6,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.10 : 18,693.60 = 4,143.70 : x
  2. Step 2: Convert to fraction form
    12,465.10/18,693.60 = 4,143.70/x
  3. Step 3: Cross multiply
    12,465.10x = 18,693.60 × 4,143.70
  4. Step 4: Simplify right side
    12,465.10x = 77,460,670.32
  5. Step 5: Solve for x
    x = 77,460,670.32/12,465.10
  6. Step 6: Final answer
    x = 6,214.20

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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.