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Finding the Fourth Proportional to 14,897.12, 22,311.64 and 7,111.40

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Solution

The fourth proportional to 14,897.12, 22,311.64 and 7,111.40 is: 10,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.12 : 22,311.64 = 7,111.40 : x
  2. Step 2: Convert to fraction form
    14,897.12/22,311.64 = 7,111.40/x
  3. Step 3: Cross multiply
    14,897.12x = 22,311.64 × 7,111.40
  4. Step 4: Simplify right side
    14,897.12x = 158,666,996.70
  5. Step 5: Solve for x
    x = 158,666,996.70/14,897.12
  6. Step 6: Final answer
    x = 10,650.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.