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Finding the Fourth Proportional to 17,802.64, 24,567.40 and 9,844.88

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Solution

The fourth proportional to 17,802.64, 24,567.40 and 9,844.88 is: 13,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.64 : 24,567.40 = 9,844.88 : x
  2. Step 2: Convert to fraction form
    17,802.64/24,567.40 = 9,844.88/x
  3. Step 3: Cross multiply
    17,802.64x = 24,567.40 × 9,844.88
  4. Step 4: Simplify right side
    17,802.64x = 241,863,104.91
  5. Step 5: Solve for x
    x = 241,863,104.91/17,802.64
  6. Step 6: Final answer
    x = 13,585.80

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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.