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Finding the Fourth Proportional to 34,130.08, 51,195.20 and 9,506.08

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Solution

The fourth proportional to 34,130.08, 51,195.20 and 9,506.08 is: 14,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130.08 : 51,195.20 = 9,506.08 : x
  2. Step 2: Convert to fraction form
    34,130.08/51,195.20 = 9,506.08/x
  3. Step 3: Cross multiply
    34,130.08x = 51,195.20 × 9,506.08
  4. Step 4: Simplify right side
    34,130.08x = 486,665,666.82
  5. Step 5: Solve for x
    x = 486,665,666.82/34,130.08
  6. Step 6: Final answer
    x = 14,259.14

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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.