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Finding the Fourth Proportional to 23,775.16, 35,662.71 and 7,135.17

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Solution

The fourth proportional to 23,775.16, 35,662.71 and 7,135.17 is: 10,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.16 : 35,662.71 = 7,135.17 : x
  2. Step 2: Convert to fraction form
    23,775.16/35,662.71 = 7,135.17/x
  3. Step 3: Cross multiply
    23,775.16x = 35,662.71 × 7,135.17
  4. Step 4: Simplify right side
    23,775.16x = 254,459,498.51
  5. Step 5: Solve for x
    x = 254,459,498.51/23,775.16
  6. Step 6: Final answer
    x = 10,702.75

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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.