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Finding the Fourth Proportional to 12,417.14, 18,602.26 and 9,630.16

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Solution

The fourth proportional to 12,417.14, 18,602.26 and 9,630.16 is: 14,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.14 : 18,602.26 = 9,630.16 : x
  2. Step 2: Convert to fraction form
    12,417.14/18,602.26 = 9,630.16/x
  3. Step 3: Cross multiply
    12,417.14x = 18,602.26 × 9,630.16
  4. Step 4: Simplify right side
    12,417.14x = 179,142,740.16
  5. Step 5: Solve for x
    x = 179,142,740.16/12,417.14
  6. Step 6: Final answer
    x = 14,427.05

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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.