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Finding the Fourth Proportional to 19,568.08, 29,330.04 and 9,714.40

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Solution

The fourth proportional to 19,568.08, 29,330.04 and 9,714.40 is: 14,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.08 : 29,330.04 = 9,714.40 : x
  2. Step 2: Convert to fraction form
    19,568.08/29,330.04 = 9,714.40/x
  3. Step 3: Cross multiply
    19,568.08x = 29,330.04 × 9,714.40
  4. Step 4: Simplify right side
    19,568.08x = 284,923,740.58
  5. Step 5: Solve for x
    x = 284,923,740.58/19,568.08
  6. Step 6: Final answer
    x = 14,560.64

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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.