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Finding the Fourth Proportional to 12,784.42, 17,643.86 and 7,483.68

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Solution

The fourth proportional to 12,784.42, 17,643.86 and 7,483.68 is: 10,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.42 : 17,643.86 = 7,483.68 : x
  2. Step 2: Convert to fraction form
    12,784.42/17,643.86 = 7,483.68/x
  3. Step 3: Cross multiply
    12,784.42x = 17,643.86 × 7,483.68
  4. Step 4: Simplify right side
    12,784.42x = 132,041,020.91
  5. Step 5: Solve for x
    x = 132,041,020.91/12,784.42
  6. Step 6: Final answer
    x = 10,328.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.