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Finding the Fourth Proportional to 23,209, 32,032.47 and 13,777.36

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Solution

The fourth proportional to 23,209, 32,032.47 and 13,777.36 is: 19,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209 : 32,032.47 = 13,777.36 : x
  2. Step 2: Convert to fraction form
    23,209/32,032.47 = 13,777.36/x
  3. Step 3: Cross multiply
    23,209x = 32,032.47 × 13,777.36
  4. Step 4: Simplify right side
    23,209x = 441,322,870.88
  5. Step 5: Solve for x
    x = 441,322,870.88/23,209
  6. Step 6: Final answer
    x = 19,015.16

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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.