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Finding the Fourth Proportional to 16,508.09, 24,762.06 and 5,842.35

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Solution

The fourth proportional to 16,508.09, 24,762.06 and 5,842.35 is: 8,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.09 : 24,762.06 = 5,842.35 : x
  2. Step 2: Convert to fraction form
    16,508.09/24,762.06 = 5,842.35/x
  3. Step 3: Cross multiply
    16,508.09x = 24,762.06 × 5,842.35
  4. Step 4: Simplify right side
    16,508.09x = 144,668,621.24
  5. Step 5: Solve for x
    x = 144,668,621.24/16,508.09
  6. Step 6: Final answer
    x = 8,763.50

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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.