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Finding the Fourth Proportional to 12,114.63, 18,138.06 and 6,548.00

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Solution

The fourth proportional to 12,114.63, 18,138.06 and 6,548.00 is: 9,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.63 : 18,138.06 = 6,548.00 : x
  2. Step 2: Convert to fraction form
    12,114.63/18,138.06 = 6,548.00/x
  3. Step 3: Cross multiply
    12,114.63x = 18,138.06 × 6,548.00
  4. Step 4: Simplify right side
    12,114.63x = 118,767,926.19
  5. Step 5: Solve for x
    x = 118,767,926.19/12,114.63
  6. Step 6: Final answer
    x = 9,803.68

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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.