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Finding the Fourth Proportional to 23,376.16, 35,051.28 and 7,785.28

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Solution

The fourth proportional to 23,376.16, 35,051.28 and 7,785.28 is: 11,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.16 : 35,051.28 = 7,785.28 : x
  2. Step 2: Convert to fraction form
    23,376.16/35,051.28 = 7,785.28/x
  3. Step 3: Cross multiply
    23,376.16x = 35,051.28 × 7,785.28
  4. Step 4: Simplify right side
    23,376.16x = 272,884,029.16
  5. Step 5: Solve for x
    x = 272,884,029.16/23,376.16
  6. Step 6: Final answer
    x = 11,673.60

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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.