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Finding the Fourth Proportional to 23,477.95, 35,222.71 and 6,838.12

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Solution

The fourth proportional to 23,477.95, 35,222.71 and 6,838.12 is: 10,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.95 : 35,222.71 = 6,838.12 : x
  2. Step 2: Convert to fraction form
    23,477.95/35,222.71 = 6,838.12/x
  3. Step 3: Cross multiply
    23,477.95x = 35,222.71 × 6,838.12
  4. Step 4: Simplify right side
    23,477.95x = 240,857,117.71
  5. Step 5: Solve for x
    x = 240,857,117.71/23,477.95
  6. Step 6: Final answer
    x = 10,258.86

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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.