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Finding the Fourth Proportional to 23,549.36, 32,498.02 and 13,477.75

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Solution

The fourth proportional to 23,549.36, 32,498.02 and 13,477.75 is: 18,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.36 : 32,498.02 = 13,477.75 : x
  2. Step 2: Convert to fraction form
    23,549.36/32,498.02 = 13,477.75/x
  3. Step 3: Cross multiply
    23,549.36x = 32,498.02 × 13,477.75
  4. Step 4: Simplify right side
    23,549.36x = 438,000,121.67
  5. Step 5: Solve for x
    x = 438,000,121.67/23,549.36
  6. Step 6: Final answer
    x = 18,599.24

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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.