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Finding the Fourth Proportional to 23,116.08, 31,866.84 and 17,802.48

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Solution

The fourth proportional to 23,116.08, 31,866.84 and 17,802.48 is: 24,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.08 : 31,866.84 = 17,802.48 : x
  2. Step 2: Convert to fraction form
    23,116.08/31,866.84 = 17,802.48/x
  3. Step 3: Cross multiply
    23,116.08x = 31,866.84 × 17,802.48
  4. Step 4: Simplify right side
    23,116.08x = 567,308,781.76
  5. Step 5: Solve for x
    x = 567,308,781.76/23,116.08
  6. Step 6: Final answer
    x = 24,541.74

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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.