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Finding the Fourth Proportional to 12,437.40, 18,656.10 and 9,618.60

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Solution

The fourth proportional to 12,437.40, 18,656.10 and 9,618.60 is: 14,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.40 : 18,656.10 = 9,618.60 : x
  2. Step 2: Convert to fraction form
    12,437.40/18,656.10 = 9,618.60/x
  3. Step 3: Cross multiply
    12,437.40x = 18,656.10 × 9,618.60
  4. Step 4: Simplify right side
    12,437.40x = 179,445,563.46
  5. Step 5: Solve for x
    x = 179,445,563.46/12,437.40
  6. Step 6: Final answer
    x = 14,427.90

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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.