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Finding the Fourth Proportional to 23,838.50, 32,897.02 and 13,228.11

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Solution

The fourth proportional to 23,838.50, 32,897.02 and 13,228.11 is: 18,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.50 : 32,897.02 = 13,228.11 : x
  2. Step 2: Convert to fraction form
    23,838.50/32,897.02 = 13,228.11/x
  3. Step 3: Cross multiply
    23,838.50x = 32,897.02 × 13,228.11
  4. Step 4: Simplify right side
    23,838.50x = 435,165,234.75
  5. Step 5: Solve for x
    x = 435,165,234.75/23,838.50
  6. Step 6: Final answer
    x = 18,254.72

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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.