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Finding the Fourth Proportional to 30,805.32, 42,511.14 and 16,658.10

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Solution

The fourth proportional to 30,805.32, 42,511.14 and 16,658.10 is: 22,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.32 : 42,511.14 = 16,658.10 : x
  2. Step 2: Convert to fraction form
    30,805.32/42,511.14 = 16,658.10/x
  3. Step 3: Cross multiply
    30,805.32x = 42,511.14 × 16,658.10
  4. Step 4: Simplify right side
    30,805.32x = 708,154,821.23
  5. Step 5: Solve for x
    x = 708,154,821.23/30,805.32
  6. Step 6: Final answer
    x = 22,988.07

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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.