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Finding the Fourth Proportional to 16,429.60, 24,644.40 and 6,045.40

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Solution

The fourth proportional to 16,429.60, 24,644.40 and 6,045.40 is: 9,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.60 : 24,644.40 = 6,045.40 : x
  2. Step 2: Convert to fraction form
    16,429.60/24,644.40 = 6,045.40/x
  3. Step 3: Cross multiply
    16,429.60x = 24,644.40 × 6,045.40
  4. Step 4: Simplify right side
    16,429.60x = 148,985,255.76
  5. Step 5: Solve for x
    x = 148,985,255.76/16,429.60
  6. Step 6: Final answer
    x = 9,068.10

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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.