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Finding the Fourth Proportional to 18,565.68, 27,852.62 and 9,210.78

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Solution

The fourth proportional to 18,565.68, 27,852.62 and 9,210.78 is: 13,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.68 : 27,852.62 = 9,210.78 : x
  2. Step 2: Convert to fraction form
    18,565.68/27,852.62 = 9,210.78/x
  3. Step 3: Cross multiply
    18,565.68x = 27,852.62 × 9,210.78
  4. Step 4: Simplify right side
    18,565.68x = 256,544,355.24
  5. Step 5: Solve for x
    x = 256,544,355.24/18,565.68
  6. Step 6: Final answer
    x = 13,818.20

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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.