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Finding the Fourth Proportional to 23,864.51, 35,782.05 and 8,068.05

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Solution

The fourth proportional to 23,864.51, 35,782.05 and 8,068.05 is: 12,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.51 : 35,782.05 = 8,068.05 : x
  2. Step 2: Convert to fraction form
    23,864.51/35,782.05 = 8,068.05/x
  3. Step 3: Cross multiply
    23,864.51x = 35,782.05 × 8,068.05
  4. Step 4: Simplify right side
    23,864.51x = 288,691,368.50
  5. Step 5: Solve for x
    x = 288,691,368.50/23,864.51
  6. Step 6: Final answer
    x = 12,097.10

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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.