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Finding the Fourth Proportional to 11,970.34, 17,981.43 and 9,784.42

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Solution

The fourth proportional to 11,970.34, 17,981.43 and 9,784.42 is: 14,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.34 : 17,981.43 = 9,784.42 : x
  2. Step 2: Convert to fraction form
    11,970.34/17,981.43 = 9,784.42/x
  3. Step 3: Cross multiply
    11,970.34x = 17,981.43 × 9,784.42
  4. Step 4: Simplify right side
    11,970.34x = 175,937,863.32
  5. Step 5: Solve for x
    x = 175,937,863.32/11,970.34
  6. Step 6: Final answer
    x = 14,697.82

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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.