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Finding the Fourth Proportional to 19,700.16, 27,178.08 and 12,242.88

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Solution

The fourth proportional to 19,700.16, 27,178.08 and 12,242.88 is: 16,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.16 : 27,178.08 = 12,242.88 : x
  2. Step 2: Convert to fraction form
    19,700.16/27,178.08 = 12,242.88/x
  3. Step 3: Cross multiply
    19,700.16x = 27,178.08 × 12,242.88
  4. Step 4: Simplify right side
    19,700.16x = 332,737,972.07
  5. Step 5: Solve for x
    x = 332,737,972.07/19,700.16
  6. Step 6: Final answer
    x = 16,890.12

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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.