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Finding the Fourth Proportional to 23,225.64, 34,838.30 and 5,695.31

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Solution

The fourth proportional to 23,225.64, 34,838.30 and 5,695.31 is: 8,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.64 : 34,838.30 = 5,695.31 : x
  2. Step 2: Convert to fraction form
    23,225.64/34,838.30 = 5,695.31/x
  3. Step 3: Cross multiply
    23,225.64x = 34,838.30 × 5,695.31
  4. Step 4: Simplify right side
    23,225.64x = 198,415,019.71
  5. Step 5: Solve for x
    x = 198,415,019.71/23,225.64
  6. Step 6: Final answer
    x = 8,542.93

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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.