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Finding the Fourth Proportional to 25,210, 37,811.64 and 8,569.36

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Solution

The fourth proportional to 25,210, 37,811.64 and 8,569.36 is: 12,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210 : 37,811.64 = 8,569.36 : x
  2. Step 2: Convert to fraction form
    25,210/37,811.64 = 8,569.36/x
  3. Step 3: Cross multiply
    25,210x = 37,811.64 × 8,569.36
  4. Step 4: Simplify right side
    25,210x = 324,021,555.35
  5. Step 5: Solve for x
    x = 324,021,555.35/25,210
  6. Step 6: Final answer
    x = 12,852.90

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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.