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Finding the Fourth Proportional to 21,956.12, 32,924.10 and 9,470.16

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Solution

The fourth proportional to 21,956.12, 32,924.10 and 9,470.16 is: 14,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.12 : 32,924.10 = 9,470.16 : x
  2. Step 2: Convert to fraction form
    21,956.12/32,924.10 = 9,470.16/x
  3. Step 3: Cross multiply
    21,956.12x = 32,924.10 × 9,470.16
  4. Step 4: Simplify right side
    21,956.12x = 311,796,494.86
  5. Step 5: Solve for x
    x = 311,796,494.86/21,956.12
  6. Step 6: Final answer
    x = 14,200.89

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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.