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Finding the Fourth Proportional to 16,244.80, 24,352.96 and 7,807.10

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Solution

The fourth proportional to 16,244.80, 24,352.96 and 7,807.10 is: 11,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.80 : 24,352.96 = 7,807.10 : x
  2. Step 2: Convert to fraction form
    16,244.80/24,352.96 = 7,807.10/x
  3. Step 3: Cross multiply
    16,244.80x = 24,352.96 × 7,807.10
  4. Step 4: Simplify right side
    16,244.80x = 190,125,994.02
  5. Step 5: Solve for x
    x = 190,125,994.02/16,244.80
  6. Step 6: Final answer
    x = 11,703.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.