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Finding the Fourth Proportional to 14,897.76, 20,542.09 and 10,857.46

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Solution

The fourth proportional to 14,897.76, 20,542.09 and 10,857.46 is: 14,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.76 : 20,542.09 = 10,857.46 : x
  2. Step 2: Convert to fraction form
    14,897.76/20,542.09 = 10,857.46/x
  3. Step 3: Cross multiply
    14,897.76x = 20,542.09 × 10,857.46
  4. Step 4: Simplify right side
    14,897.76x = 223,034,920.49
  5. Step 5: Solve for x
    x = 223,034,920.49/14,897.76
  6. Step 6: Final answer
    x = 14,971.04

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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.