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Finding the Fourth Proportional to 24,484.60, 36,708.96 and 7,835.08

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Solution

The fourth proportional to 24,484.60, 36,708.96 and 7,835.08 is: 11,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.60 : 36,708.96 = 7,835.08 : x
  2. Step 2: Convert to fraction form
    24,484.60/36,708.96 = 7,835.08/x
  3. Step 3: Cross multiply
    24,484.60x = 36,708.96 × 7,835.08
  4. Step 4: Simplify right side
    24,484.60x = 287,617,638.32
  5. Step 5: Solve for x
    x = 287,617,638.32/24,484.60
  6. Step 6: Final answer
    x = 11,746.88

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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.