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Finding the Fourth Proportional to 12,369.57, 18,547.42 and 5,345.20

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Solution

The fourth proportional to 12,369.57, 18,547.42 and 5,345.20 is: 8,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.57 : 18,547.42 = 5,345.20 : x
  2. Step 2: Convert to fraction form
    12,369.57/18,547.42 = 5,345.20/x
  3. Step 3: Cross multiply
    12,369.57x = 18,547.42 × 5,345.20
  4. Step 4: Simplify right side
    12,369.57x = 99,139,669.38
  5. Step 5: Solve for x
    x = 99,139,669.38/12,369.57
  6. Step 6: Final answer
    x = 8,014.80

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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.