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Finding the Fourth Proportional to 13,400.90, 20,081.55 and 9,710.90

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Solution

The fourth proportional to 13,400.90, 20,081.55 and 9,710.90 is: 14,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.90 : 20,081.55 = 9,710.90 : x
  2. Step 2: Convert to fraction form
    13,400.90/20,081.55 = 9,710.90/x
  3. Step 3: Cross multiply
    13,400.90x = 20,081.55 × 9,710.90
  4. Step 4: Simplify right side
    13,400.90x = 195,009,923.90
  5. Step 5: Solve for x
    x = 195,009,923.90/13,400.90
  6. Step 6: Final answer
    x = 14,552.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.