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Finding the Fourth Proportional to 12,533.42, 18,809.72 and 4,643.42

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Solution

The fourth proportional to 12,533.42, 18,809.72 and 4,643.42 is: 6,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.42 : 18,809.72 = 4,643.42 : x
  2. Step 2: Convert to fraction form
    12,533.42/18,809.72 = 4,643.42/x
  3. Step 3: Cross multiply
    12,533.42x = 18,809.72 × 4,643.42
  4. Step 4: Simplify right side
    12,533.42x = 87,341,312.78
  5. Step 5: Solve for x
    x = 87,341,312.78/12,533.42
  6. Step 6: Final answer
    x = 6,968.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.