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Finding the Fourth Proportional to 23,802.64, 35,693.60 and 12,706.84

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Solution

The fourth proportional to 23,802.64, 35,693.60 and 12,706.84 is: 19,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.64 : 35,693.60 = 12,706.84 : x
  2. Step 2: Convert to fraction form
    23,802.64/35,693.60 = 12,706.84/x
  3. Step 3: Cross multiply
    23,802.64x = 35,693.60 × 12,706.84
  4. Step 4: Simplify right side
    23,802.64x = 453,552,864.22
  5. Step 5: Solve for x
    x = 453,552,864.22/23,802.64
  6. Step 6: Final answer
    x = 19,054.73

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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.