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Finding the Fourth Proportional to 16,048.89, 24,077.51 and 6,184.91

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Solution

The fourth proportional to 16,048.89, 24,077.51 and 6,184.91 is: 9,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.89 : 24,077.51 = 6,184.91 : x
  2. Step 2: Convert to fraction form
    16,048.89/24,077.51 = 6,184.91/x
  3. Step 3: Cross multiply
    16,048.89x = 24,077.51 × 6,184.91
  4. Step 4: Simplify right side
    16,048.89x = 148,917,319.63
  5. Step 5: Solve for x
    x = 148,917,319.63/16,048.89
  6. Step 6: Final answer
    x = 9,278.98

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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.