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Finding the Fourth Proportional to 16,046.90, 24,070.65 and 6,180.90

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Solution

The fourth proportional to 16,046.90, 24,070.65 and 6,180.90 is: 9,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.90 : 24,070.65 = 6,180.90 : x
  2. Step 2: Convert to fraction form
    16,046.90/24,070.65 = 6,180.90/x
  3. Step 3: Cross multiply
    16,046.90x = 24,070.65 × 6,180.90
  4. Step 4: Simplify right side
    16,046.90x = 148,778,280.59
  5. Step 5: Solve for x
    x = 148,778,280.59/16,046.90
  6. Step 6: Final answer
    x = 9,271.47

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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.