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Finding the Fourth Proportional to 20,897.46, 28,838.37 and 11,466

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Solution

The fourth proportional to 20,897.46, 28,838.37 and 11,466 is: 15,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.46 : 28,838.37 = 11,466 : x
  2. Step 2: Convert to fraction form
    20,897.46/28,838.37 = 11,466/x
  3. Step 3: Cross multiply
    20,897.46x = 28,838.37 × 11,466
  4. Step 4: Simplify right side
    20,897.46x = 330,660,750.42
  5. Step 5: Solve for x
    x = 330,660,750.42/20,897.46
  6. Step 6: Final answer
    x = 15,823.01

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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.