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Finding the Fourth Proportional to 12,756.12, 17,598.50 and 9,406.90

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Solution

The fourth proportional to 12,756.12, 17,598.50 and 9,406.90 is: 12,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.12 : 17,598.50 = 9,406.90 : x
  2. Step 2: Convert to fraction form
    12,756.12/17,598.50 = 9,406.90/x
  3. Step 3: Cross multiply
    12,756.12x = 17,598.50 × 9,406.90
  4. Step 4: Simplify right side
    12,756.12x = 165,547,329.65
  5. Step 5: Solve for x
    x = 165,547,329.65/12,756.12
  6. Step 6: Final answer
    x = 12,977.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.