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Finding the Fourth Proportional to 23,208.42, 32,035.94 and 13,776.99

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Solution

The fourth proportional to 23,208.42, 32,035.94 and 13,776.99 is: 19,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.42 : 32,035.94 = 13,776.99 : x
  2. Step 2: Convert to fraction form
    23,208.42/32,035.94 = 13,776.99/x
  3. Step 3: Cross multiply
    23,208.42x = 32,035.94 × 13,776.99
  4. Step 4: Simplify right side
    23,208.42x = 441,358,756.14
  5. Step 5: Solve for x
    x = 441,358,756.14/23,208.42
  6. Step 6: Final answer
    x = 19,017.18

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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.