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Finding the Fourth Proportional to 12,309.93, 18,465 and 3,075.93

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Solution

The fourth proportional to 12,309.93, 18,465 and 3,075.93 is: 4,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.93 : 18,465 = 3,075.93 : x
  2. Step 2: Convert to fraction form
    12,309.93/18,465 = 3,075.93/x
  3. Step 3: Cross multiply
    12,309.93x = 18,465 × 3,075.93
  4. Step 4: Simplify right side
    12,309.93x = 56,797,047.45
  5. Step 5: Solve for x
    x = 56,797,047.45/12,309.93
  6. Step 6: Final answer
    x = 4,613.92

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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.