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Finding the Fourth Proportional to 16,445.92, 24,681.84 and 7,684.96

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Solution

The fourth proportional to 16,445.92, 24,681.84 and 7,684.96 is: 11,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.92 : 24,681.84 = 7,684.96 : x
  2. Step 2: Convert to fraction form
    16,445.92/24,681.84 = 7,684.96/x
  3. Step 3: Cross multiply
    16,445.92x = 24,681.84 × 7,684.96
  4. Step 4: Simplify right side
    16,445.92x = 189,678,953.13
  5. Step 5: Solve for x
    x = 189,678,953.13/16,445.92
  6. Step 6: Final answer
    x = 11,533.50

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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.