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Finding the Fourth Proportional to 16,389.60, 24,584.40 and 6,005.40

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Solution

The fourth proportional to 16,389.60, 24,584.40 and 6,005.40 is: 9,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.60 : 24,584.40 = 6,005.40 : x
  2. Step 2: Convert to fraction form
    16,389.60/24,584.40 = 6,005.40/x
  3. Step 3: Cross multiply
    16,389.60x = 24,584.40 × 6,005.40
  4. Step 4: Simplify right side
    16,389.60x = 147,639,155.76
  5. Step 5: Solve for x
    x = 147,639,155.76/16,389.60
  6. Step 6: Final answer
    x = 9,008.10

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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.