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Finding the Fourth Proportional to 11,985, 17,981.04 and 6,145.70

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Solution

The fourth proportional to 11,985, 17,981.04 and 6,145.70 is: 9,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985 : 17,981.04 = 6,145.70 : x
  2. Step 2: Convert to fraction form
    11,985/17,981.04 = 6,145.70/x
  3. Step 3: Cross multiply
    11,985x = 17,981.04 × 6,145.70
  4. Step 4: Simplify right side
    11,985x = 110,506,077.53
  5. Step 5: Solve for x
    x = 110,506,077.53/11,985
  6. Step 6: Final answer
    x = 9,220.37

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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.