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Finding the Fourth Proportional to 12,365.10, 18,530.82 and 10,298.16

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Solution

The fourth proportional to 12,365.10, 18,530.82 and 10,298.16 is: 15,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.10 : 18,530.82 = 10,298.16 : x
  2. Step 2: Convert to fraction form
    12,365.10/18,530.82 = 10,298.16/x
  3. Step 3: Cross multiply
    12,365.10x = 18,530.82 × 10,298.16
  4. Step 4: Simplify right side
    12,365.10x = 190,833,349.29
  5. Step 5: Solve for x
    x = 190,833,349.29/12,365.10
  6. Step 6: Final answer
    x = 15,433.22

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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.