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Finding the Fourth Proportional to 19,713.16, 27,197.70 and 14,048.80

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Solution

The fourth proportional to 19,713.16, 27,197.70 and 14,048.80 is: 19,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.16 : 27,197.70 = 14,048.80 : x
  2. Step 2: Convert to fraction form
    19,713.16/27,197.70 = 14,048.80/x
  3. Step 3: Cross multiply
    19,713.16x = 27,197.70 × 14,048.80
  4. Step 4: Simplify right side
    19,713.16x = 382,095,047.76
  5. Step 5: Solve for x
    x = 382,095,047.76/19,713.16
  6. Step 6: Final answer
    x = 19,382.74

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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.