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Finding the Fourth Proportional to 12,967.12, 17,892.84 and 7,302.16

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Solution

The fourth proportional to 12,967.12, 17,892.84 and 7,302.16 is: 10,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.12 : 17,892.84 = 7,302.16 : x
  2. Step 2: Convert to fraction form
    12,967.12/17,892.84 = 7,302.16/x
  3. Step 3: Cross multiply
    12,967.12x = 17,892.84 × 7,302.16
  4. Step 4: Simplify right side
    12,967.12x = 130,656,380.53
  5. Step 5: Solve for x
    x = 130,656,380.53/12,967.12
  6. Step 6: Final answer
    x = 10,075.98

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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.