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Finding the Fourth Proportional to 23,917.95, 35,869.30 and 7,904.50

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Solution

The fourth proportional to 23,917.95, 35,869.30 and 7,904.50 is: 11,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.95 : 35,869.30 = 7,904.50 : x
  2. Step 2: Convert to fraction form
    23,917.95/35,869.30 = 7,904.50/x
  3. Step 3: Cross multiply
    23,917.95x = 35,869.30 × 7,904.50
  4. Step 4: Simplify right side
    23,917.95x = 283,528,881.85
  5. Step 5: Solve for x
    x = 283,528,881.85/23,917.95
  6. Step 6: Final answer
    x = 11,854.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.