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Finding the Fourth Proportional to 16,580.63, 24,837.63 and 8,235.40

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Solution

The fourth proportional to 16,580.63, 24,837.63 and 8,235.40 is: 12,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.63 : 24,837.63 = 8,235.40 : x
  2. Step 2: Convert to fraction form
    16,580.63/24,837.63 = 8,235.40/x
  3. Step 3: Cross multiply
    16,580.63x = 24,837.63 × 8,235.40
  4. Step 4: Simplify right side
    16,580.63x = 204,547,818.10
  5. Step 5: Solve for x
    x = 204,547,818.10/16,580.63
  6. Step 6: Final answer
    x = 12,336.55

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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.