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Finding the Fourth Proportional to 19,700.16, 27,178.08 and 13,735.36

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Solution

The fourth proportional to 19,700.16, 27,178.08 and 13,735.36 is: 18,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.16 : 27,178.08 = 13,735.36 : x
  2. Step 2: Convert to fraction form
    19,700.16/27,178.08 = 13,735.36/x
  3. Step 3: Cross multiply
    19,700.16x = 27,178.08 × 13,735.36
  4. Step 4: Simplify right side
    19,700.16x = 373,300,712.91
  5. Step 5: Solve for x
    x = 373,300,712.91/19,700.16
  6. Step 6: Final answer
    x = 18,949.12

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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.