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Finding the Fourth Proportional to 17,827.64, 24,602.88 and 9,869.72

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Solution

The fourth proportional to 17,827.64, 24,602.88 and 9,869.72 is: 13,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.64 : 24,602.88 = 9,869.72 : x
  2. Step 2: Convert to fraction form
    17,827.64/24,602.88 = 9,869.72/x
  3. Step 3: Cross multiply
    17,827.64x = 24,602.88 × 9,869.72
  4. Step 4: Simplify right side
    17,827.64x = 242,823,536.79
  5. Step 5: Solve for x
    x = 242,823,536.79/17,827.64
  6. Step 6: Final answer
    x = 13,620.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.