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Finding the Fourth Proportional to 16,362, 24,539.76 and 4,673.16

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Solution

The fourth proportional to 16,362, 24,539.76 and 4,673.16 is: 7,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362 : 24,539.76 = 4,673.16 : x
  2. Step 2: Convert to fraction form
    16,362/24,539.76 = 4,673.16/x
  3. Step 3: Cross multiply
    16,362x = 24,539.76 × 4,673.16
  4. Step 4: Simplify right side
    16,362x = 114,678,224.84
  5. Step 5: Solve for x
    x = 114,678,224.84/16,362
  6. Step 6: Final answer
    x = 7,008.81

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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.