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Finding the Fourth Proportional to 30,805.74, 42,511.86 and 16,658.52

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Solution

The fourth proportional to 30,805.74, 42,511.86 and 16,658.52 is: 22,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.74 : 42,511.86 = 16,658.52 : x
  2. Step 2: Convert to fraction form
    30,805.74/42,511.86 = 16,658.52/x
  3. Step 3: Cross multiply
    30,805.74x = 42,511.86 × 16,658.52
  4. Step 4: Simplify right side
    30,805.74x = 708,184,670.05
  5. Step 5: Solve for x
    x = 708,184,670.05/30,805.74
  6. Step 6: Final answer
    x = 22,988.72

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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.