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Finding the Fourth Proportional to 23,434.32, 35,153.04 and 7,852.08

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Solution

The fourth proportional to 23,434.32, 35,153.04 and 7,852.08 is: 11,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.32 : 35,153.04 = 7,852.08 : x
  2. Step 2: Convert to fraction form
    23,434.32/35,153.04 = 7,852.08/x
  3. Step 3: Cross multiply
    23,434.32x = 35,153.04 × 7,852.08
  4. Step 4: Simplify right side
    23,434.32x = 276,024,482.32
  5. Step 5: Solve for x
    x = 276,024,482.32/23,434.32
  6. Step 6: Final answer
    x = 11,778.64

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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.