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Finding the Fourth Proportional to 20,547.68, 30,774.81 and 16,077.49

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Solution

The fourth proportional to 20,547.68, 30,774.81 and 16,077.49 is: 24,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.68 : 30,774.81 = 16,077.49 : x
  2. Step 2: Convert to fraction form
    20,547.68/30,774.81 = 16,077.49/x
  3. Step 3: Cross multiply
    20,547.68x = 30,774.81 × 16,077.49
  4. Step 4: Simplify right side
    20,547.68x = 494,781,465.77
  5. Step 5: Solve for x
    x = 494,781,465.77/20,547.68
  6. Step 6: Final answer
    x = 24,079.68

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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.