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Finding the Fourth Proportional to 16,530.68, 22,806.62 and 10,565.84

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Solution

The fourth proportional to 16,530.68, 22,806.62 and 10,565.84 is: 14,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.68 : 22,806.62 = 10,565.84 : x
  2. Step 2: Convert to fraction form
    16,530.68/22,806.62 = 10,565.84/x
  3. Step 3: Cross multiply
    16,530.68x = 22,806.62 × 10,565.84
  4. Step 4: Simplify right side
    16,530.68x = 240,971,097.86
  5. Step 5: Solve for x
    x = 240,971,097.86/16,530.68
  6. Step 6: Final answer
    x = 14,577.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.