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Finding the Fourth Proportional to 23,852.61, 35,775.47 and 8,054.78

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Solution

The fourth proportional to 23,852.61, 35,775.47 and 8,054.78 is: 12,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.61 : 35,775.47 = 8,054.78 : x
  2. Step 2: Convert to fraction form
    23,852.61/35,775.47 = 8,054.78/x
  3. Step 3: Cross multiply
    23,852.61x = 35,775.47 × 8,054.78
  4. Step 4: Simplify right side
    23,852.61x = 288,163,381.51
  5. Step 5: Solve for x
    x = 288,163,381.51/23,852.61
  6. Step 6: Final answer
    x = 12,081.00

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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.