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Finding the Fourth Proportional to 23,616.12, 32,586.88 and 13,545

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Solution

The fourth proportional to 23,616.12, 32,586.88 and 13,545 is: 18,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.12 : 32,586.88 = 13,545 : x
  2. Step 2: Convert to fraction form
    23,616.12/32,586.88 = 13,545/x
  3. Step 3: Cross multiply
    23,616.12x = 32,586.88 × 13,545
  4. Step 4: Simplify right side
    23,616.12x = 441,389,289.60
  5. Step 5: Solve for x
    x = 441,389,289.60/23,616.12
  6. Step 6: Final answer
    x = 18,690.17

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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.