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Finding the Fourth Proportional to 20,897.04, 31,325.12 and 7,566

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Solution

The fourth proportional to 20,897.04, 31,325.12 and 7,566 is: 11,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.04 : 31,325.12 = 7,566 : x
  2. Step 2: Convert to fraction form
    20,897.04/31,325.12 = 7,566/x
  3. Step 3: Cross multiply
    20,897.04x = 31,325.12 × 7,566
  4. Step 4: Simplify right side
    20,897.04x = 237,005,857.92
  5. Step 5: Solve for x
    x = 237,005,857.92/20,897.04
  6. Step 6: Final answer
    x = 11,341.60

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