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Finding the Fourth Proportional to 12,735.54, 19,017.50 and 10,400.10

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Solution

The fourth proportional to 12,735.54, 19,017.50 and 10,400.10 is: 15,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.54 : 19,017.50 = 10,400.10 : x
  2. Step 2: Convert to fraction form
    12,735.54/19,017.50 = 10,400.10/x
  3. Step 3: Cross multiply
    12,735.54x = 19,017.50 × 10,400.10
  4. Step 4: Simplify right side
    12,735.54x = 197,783,901.75
  5. Step 5: Solve for x
    x = 197,783,901.75/12,735.54
  6. Step 6: Final answer
    x = 15,530.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.