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Finding the Fourth Proportional to 23,567.36, 32,523.20 and 12,957.20

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Solution

The fourth proportional to 23,567.36, 32,523.20 and 12,957.20 is: 17,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.36 : 32,523.20 = 12,957.20 : x
  2. Step 2: Convert to fraction form
    23,567.36/32,523.20 = 12,957.20/x
  3. Step 3: Cross multiply
    23,567.36x = 32,523.20 × 12,957.20
  4. Step 4: Simplify right side
    23,567.36x = 421,409,607.04
  5. Step 5: Solve for x
    x = 421,409,607.04/23,567.36
  6. Step 6: Final answer
    x = 17,881.07

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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.