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Finding the Fourth Proportional to 12,352.42, 17,047.76 and 7,048

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Solution

The fourth proportional to 12,352.42, 17,047.76 and 7,048 is: 9,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.42 : 17,047.76 = 7,048 : x
  2. Step 2: Convert to fraction form
    12,352.42/17,047.76 = 7,048/x
  3. Step 3: Cross multiply
    12,352.42x = 17,047.76 × 7,048
  4. Step 4: Simplify right side
    12,352.42x = 120,152,612.48
  5. Step 5: Solve for x
    x = 120,152,612.48/12,352.42
  6. Step 6: Final answer
    x = 9,727.05

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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.