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Finding the Fourth Proportional to 16,158.30, 24,235.62 and 4,470

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Solution

The fourth proportional to 16,158.30, 24,235.62 and 4,470 is: 6,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.30 : 24,235.62 = 4,470 : x
  2. Step 2: Convert to fraction form
    16,158.30/24,235.62 = 4,470/x
  3. Step 3: Cross multiply
    16,158.30x = 24,235.62 × 4,470
  4. Step 4: Simplify right side
    16,158.30x = 108,333,221.40
  5. Step 5: Solve for x
    x = 108,333,221.40/16,158.30
  6. Step 6: Final answer
    x = 6,704.49

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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.