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Finding the Fourth Proportional to 23,205.79, 32,024.04 and 14,253.16

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Solution

The fourth proportional to 23,205.79, 32,024.04 and 14,253.16 is: 19,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.79 : 32,024.04 = 14,253.16 : x
  2. Step 2: Convert to fraction form
    23,205.79/32,024.04 = 14,253.16/x
  3. Step 3: Cross multiply
    23,205.79x = 32,024.04 × 14,253.16
  4. Step 4: Simplify right side
    23,205.79x = 456,443,765.97
  5. Step 5: Solve for x
    x = 456,443,765.97/23,205.79
  6. Step 6: Final answer
    x = 19,669.40

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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.