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Finding the Fourth Proportional to 12,242.95, 18,362.90 and 5,224.10

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Solution

The fourth proportional to 12,242.95, 18,362.90 and 5,224.10 is: 7,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.95 : 18,362.90 = 5,224.10 : x
  2. Step 2: Convert to fraction form
    12,242.95/18,362.90 = 5,224.10/x
  3. Step 3: Cross multiply
    12,242.95x = 18,362.90 × 5,224.10
  4. Step 4: Simplify right side
    12,242.95x = 95,929,547.14
  5. Step 5: Solve for x
    x = 95,929,547.14/12,242.95
  6. Step 6: Final answer
    x = 7,835.49

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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.