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Finding the Fourth Proportional to 12,148.40, 18,225.07 and 4,651.43

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Solution

The fourth proportional to 12,148.40, 18,225.07 and 4,651.43 is: 6,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.40 : 18,225.07 = 4,651.43 : x
  2. Step 2: Convert to fraction form
    12,148.40/18,225.07 = 4,651.43/x
  3. Step 3: Cross multiply
    12,148.40x = 18,225.07 × 4,651.43
  4. Step 4: Simplify right side
    12,148.40x = 84,772,534.60
  5. Step 5: Solve for x
    x = 84,772,534.60/12,148.40
  6. Step 6: Final answer
    x = 6,978.08

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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.